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Finding the Fourth Proportional to 192,510,012.80, 288,637,492.80 and 106,289,724.80

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Solution

The fourth proportional to 192,510,012.80, 288,637,492.80 and 106,289,724.80 is: 159,364,176.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,510,012.80 : 288,637,492.80 = 106,289,724.80 : x
  2. Step 2: Convert to fraction form
    192,510,012.80/288,637,492.80 = 106,289,724.80/x
  3. Step 3: Cross multiply
    192,510,012.80x = 288,637,492.80 × 106,289,724.80
  4. Step 4: Simplify right side
    192,510,012.80x = 30,679,199,676,673,980
  5. Step 5: Solve for x
    x = 30,679,199,676,673,980/192,510,012.80
  6. Step 6: Final answer
    x = 159,364,176.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.