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Finding the Fourth Proportional to 137,720.68, 206,588.70 and 39,217

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Solution

The fourth proportional to 137,720.68, 206,588.70 and 39,217 is: 58,827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,720.68 : 206,588.70 = 39,217 : x
  2. Step 2: Convert to fraction form
    137,720.68/206,588.70 = 39,217/x
  3. Step 3: Cross multiply
    137,720.68x = 206,588.70 × 39,217
  4. Step 4: Simplify right side
    137,720.68x = 8,101,789,047.90
  5. Step 5: Solve for x
    x = 8,101,789,047.90/137,720.68
  6. Step 6: Final answer
    x = 58,827.69

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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.