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Finding the Fourth Proportional to 137,615.10, 206,422.65 and 58,737.30

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Solution

The fourth proportional to 137,615.10, 206,422.65 and 58,737.30 is: 88,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,615.10 : 206,422.65 = 58,737.30 : x
  2. Step 2: Convert to fraction form
    137,615.10/206,422.65 = 58,737.30/x
  3. Step 3: Cross multiply
    137,615.10x = 206,422.65 × 58,737.30
  4. Step 4: Simplify right side
    137,615.10x = 12,124,709,119.85
  5. Step 5: Solve for x
    x = 12,124,709,119.85/137,615.10
  6. Step 6: Final answer
    x = 88,105.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.