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Finding the Fourth Proportional to 175,546.80, 262,874.70 and 96,571.80

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Solution

The fourth proportional to 175,546.80, 262,874.70 and 96,571.80 is: 144,612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,546.80 : 262,874.70 = 96,571.80 : x
  2. Step 2: Convert to fraction form
    175,546.80/262,874.70 = 96,571.80/x
  3. Step 3: Cross multiply
    175,546.80x = 262,874.70 × 96,571.80
  4. Step 4: Simplify right side
    175,546.80x = 25,386,282,953.46
  5. Step 5: Solve for x
    x = 25,386,282,953.46/175,546.80
  6. Step 6: Final answer
    x = 144,612.62

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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.