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Finding the Fourth Proportional to 137,613.60, 206,420.40 and 58,735.80

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Solution

The fourth proportional to 137,613.60, 206,420.40 and 58,735.80 is: 88,103.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,613.60 : 206,420.40 = 58,735.80 : x
  2. Step 2: Convert to fraction form
    137,613.60/206,420.40 = 58,735.80/x
  3. Step 3: Cross multiply
    137,613.60x = 206,420.40 × 58,735.80
  4. Step 4: Simplify right side
    137,613.60x = 12,124,267,330.32
  5. Step 5: Solve for x
    x = 12,124,267,330.32/137,613.60
  6. Step 6: Final answer
    x = 88,103.70

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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.