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Finding the Fourth Proportional to 205,593.96, 308,387.70 and 65,350.56

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Solution

The fourth proportional to 205,593.96, 308,387.70 and 65,350.56 is: 98,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,593.96 : 308,387.70 = 65,350.56 : x
  2. Step 2: Convert to fraction form
    205,593.96/308,387.70 = 65,350.56/x
  3. Step 3: Cross multiply
    205,593.96x = 308,387.70 × 65,350.56
  4. Step 4: Simplify right side
    205,593.96x = 20,153,308,892.11
  5. Step 5: Solve for x
    x = 20,153,308,892.11/205,593.96
  6. Step 6: Final answer
    x = 98,024.81

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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.