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Finding the Fourth Proportional to 137,615.60, 206,423.40 and 58,737.80

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Solution

The fourth proportional to 137,615.60, 206,423.40 and 58,737.80 is: 88,106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,615.60 : 206,423.40 = 58,737.80 : x
  2. Step 2: Convert to fraction form
    137,615.60/206,423.40 = 58,737.80/x
  3. Step 3: Cross multiply
    137,615.60x = 206,423.40 × 58,737.80
  4. Step 4: Simplify right side
    137,615.60x = 12,124,856,384.52
  5. Step 5: Solve for x
    x = 12,124,856,384.52/137,615.60
  6. Step 6: Final answer
    x = 88,106.70

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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.