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Finding the Fourth Proportional to 123,917.83, 185,772.24 and 53,744.29

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Solution

The fourth proportional to 123,917.83, 185,772.24 and 53,744.29 is: 80,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,917.83 : 185,772.24 = 53,744.29 : x
  2. Step 2: Convert to fraction form
    123,917.83/185,772.24 = 53,744.29/x
  3. Step 3: Cross multiply
    123,917.83x = 185,772.24 × 53,744.29
  4. Step 4: Simplify right side
    123,917.83x = 9,984,196,211.65
  5. Step 5: Solve for x
    x = 9,984,196,211.65/123,917.83
  6. Step 6: Final answer
    x = 80,571.11

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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.