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Finding the Fourth Proportional to 192,343.74, 288,479.37 and 52,083.90

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Solution

The fourth proportional to 192,343.74, 288,479.37 and 52,083.90 is: 78,116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,343.74 : 288,479.37 = 52,083.90 : x
  2. Step 2: Convert to fraction form
    192,343.74/288,479.37 = 52,083.90/x
  3. Step 3: Cross multiply
    192,343.74x = 288,479.37 × 52,083.90
  4. Step 4: Simplify right side
    192,343.74x = 15,025,130,659.14
  5. Step 5: Solve for x
    x = 15,025,130,659.14/192,343.74
  6. Step 6: Final answer
    x = 78,116.04

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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.