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Finding the Fourth Proportional to 132,897.44, 199,287.65 and 48,635.70

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Solution

The fourth proportional to 132,897.44, 199,287.65 and 48,635.70 is: 72,932.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,897.44 : 199,287.65 = 48,635.70 : x
  2. Step 2: Convert to fraction form
    132,897.44/199,287.65 = 48,635.70/x
  3. Step 3: Cross multiply
    132,897.44x = 199,287.65 × 48,635.70
  4. Step 4: Simplify right side
    132,897.44x = 9,692,494,115.93
  5. Step 5: Solve for x
    x = 9,692,494,115.93/132,897.44
  6. Step 6: Final answer
    x = 72,932.14

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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.