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Finding the Fourth Proportional to 100,500.64, 138,691.08 and 55,788.64

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Solution

The fourth proportional to 100,500.64, 138,691.08 and 55,788.64 is: 76,988.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,500.64 : 138,691.08 = 55,788.64 : x
  2. Step 2: Convert to fraction form
    100,500.64/138,691.08 = 55,788.64/x
  3. Step 3: Cross multiply
    100,500.64x = 138,691.08 × 55,788.64
  4. Step 4: Simplify right side
    100,500.64x = 7,737,386,733.33
  5. Step 5: Solve for x
    x = 7,737,386,733.33/100,500.64
  6. Step 6: Final answer
    x = 76,988.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.