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Finding the Fourth Proportional to 207,057.50, 310,593.14 and 57,285.24

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Solution

The fourth proportional to 207,057.50, 310,593.14 and 57,285.24 is: 85,929.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,057.50 : 310,593.14 = 57,285.24 : x
  2. Step 2: Convert to fraction form
    207,057.50/310,593.14 = 57,285.24/x
  3. Step 3: Cross multiply
    207,057.50x = 310,593.14 × 57,285.24
  4. Step 4: Simplify right side
    207,057.50x = 17,792,402,567.25
  5. Step 5: Solve for x
    x = 17,792,402,567.25/207,057.50
  6. Step 6: Final answer
    x = 85,929.77

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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.