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Finding the Fourth Proportional to 137,191.32, 205,806.24 and 42,429.24

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Solution

The fourth proportional to 137,191.32, 205,806.24 and 42,429.24 is: 63,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,191.32 : 205,806.24 = 42,429.24 : x
  2. Step 2: Convert to fraction form
    137,191.32/205,806.24 = 42,429.24/x
  3. Step 3: Cross multiply
    137,191.32x = 205,806.24 × 42,429.24
  4. Step 4: Simplify right side
    137,191.32x = 8,732,202,350.46
  5. Step 5: Solve for x
    x = 8,732,202,350.46/137,191.32
  6. Step 6: Final answer
    x = 63,649.82

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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.