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Finding the Fourth Proportional to 205,614.38, 308,380.26 and 72,500.06

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Solution

The fourth proportional to 205,614.38, 308,380.26 and 72,500.06 is: 108,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,614.38 : 308,380.26 = 72,500.06 : x
  2. Step 2: Convert to fraction form
    205,614.38/308,380.26 = 72,500.06/x
  3. Step 3: Cross multiply
    205,614.38x = 308,380.26 × 72,500.06
  4. Step 4: Simplify right side
    205,614.38x = 22,357,587,352.82
  5. Step 5: Solve for x
    x = 22,357,587,352.82/205,614.38
  6. Step 6: Final answer
    x = 108,735.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.