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Finding the Fourth Proportional to 137,074.57, 205,614.68 and 42,304.81

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Solution

The fourth proportional to 137,074.57, 205,614.68 and 42,304.81 is: 63,458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,074.57 : 205,614.68 = 42,304.81 : x
  2. Step 2: Convert to fraction form
    137,074.57/205,614.68 = 42,304.81/x
  3. Step 3: Cross multiply
    137,074.57x = 205,614.68 × 42,304.81
  4. Step 4: Simplify right side
    137,074.57x = 8,698,490,016.11
  5. Step 5: Solve for x
    x = 8,698,490,016.11/137,074.57
  6. Step 6: Final answer
    x = 63,458.09

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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.