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Finding the Fourth Proportional to 137,035.68, 205,402.59 and 89,631.24

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Solution

The fourth proportional to 137,035.68, 205,402.59 and 89,631.24 is: 134,348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,035.68 : 205,402.59 = 89,631.24 : x
  2. Step 2: Convert to fraction form
    137,035.68/205,402.59 = 89,631.24/x
  3. Step 3: Cross multiply
    137,035.68x = 205,402.59 × 89,631.24
  4. Step 4: Simplify right side
    137,035.68x = 18,410,488,840.91
  5. Step 5: Solve for x
    x = 18,410,488,840.91/137,035.68
  6. Step 6: Final answer
    x = 134,348.14

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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.