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Finding the Fourth Proportional to 205,593.71, 308,387.32 and 65,350.31

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Solution

The fourth proportional to 205,593.71, 308,387.32 and 65,350.31 is: 98,024.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,593.71 : 308,387.32 = 65,350.31 : x
  2. Step 2: Convert to fraction form
    205,593.71/308,387.32 = 65,350.31/x
  3. Step 3: Cross multiply
    205,593.71x = 308,387.32 × 65,350.31
  4. Step 4: Simplify right side
    205,593.71x = 20,153,206,962.07
  5. Step 5: Solve for x
    x = 20,153,206,962.07/205,593.71
  6. Step 6: Final answer
    x = 98,024.43

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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.