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Finding the Fourth Proportional to 137,708.60, 206,562.90 and 71,126.60

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Solution

The fourth proportional to 137,708.60, 206,562.90 and 71,126.60 is: 106,689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,708.60 : 206,562.90 = 71,126.60 : x
  2. Step 2: Convert to fraction form
    137,708.60/206,562.90 = 71,126.60/x
  3. Step 3: Cross multiply
    137,708.60x = 206,562.90 × 71,126.60
  4. Step 4: Simplify right side
    137,708.60x = 14,692,116,763.14
  5. Step 5: Solve for x
    x = 14,692,116,763.14/137,708.60
  6. Step 6: Final answer
    x = 106,689.90

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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.