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Finding the Fourth Proportional to 137,504.60, 206,276.68 and 52,146.88

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Solution

The fourth proportional to 137,504.60, 206,276.68 and 52,146.88 is: 78,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,504.60 : 206,276.68 = 52,146.88 : x
  2. Step 2: Convert to fraction form
    137,504.60/206,276.68 = 52,146.88/x
  3. Step 3: Cross multiply
    137,504.60x = 206,276.68 × 52,146.88
  4. Step 4: Simplify right side
    137,504.60x = 10,756,685,278.76
  5. Step 5: Solve for x
    x = 10,756,685,278.76/137,504.60
  6. Step 6: Final answer
    x = 78,227.82

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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.