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Finding the Fourth Proportional to 123,538.80, 185,308.20 and 109,760.70

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Solution

The fourth proportional to 123,538.80, 185,308.20 and 109,760.70 is: 164,641.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,538.80 : 185,308.20 = 109,760.70 : x
  2. Step 2: Convert to fraction form
    123,538.80/185,308.20 = 109,760.70/x
  3. Step 3: Cross multiply
    123,538.80x = 185,308.20 × 109,760.70
  4. Step 4: Simplify right side
    123,538.80x = 20,339,557,747.74
  5. Step 5: Solve for x
    x = 20,339,557,747.74/123,538.80
  6. Step 6: Final answer
    x = 164,641.05

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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.