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Finding the Fourth Proportional to 137,114.65, 205,588.86 and 89,672.44

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Solution

The fourth proportional to 137,114.65, 205,588.86 and 89,672.44 is: 134,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,114.65 : 205,588.86 = 89,672.44 : x
  2. Step 2: Convert to fraction form
    137,114.65/205,588.86 = 89,672.44/x
  3. Step 3: Cross multiply
    137,114.65x = 205,588.86 × 89,672.44
  4. Step 4: Simplify right side
    137,114.65x = 18,435,654,713.02
  5. Step 5: Solve for x
    x = 18,435,654,713.02/137,114.65
  6. Step 6: Final answer
    x = 134,454.30

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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.