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Finding the Fourth Proportional to 259,691.70, 389,302.44 and 101,877.78

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Solution

The fourth proportional to 259,691.70, 389,302.44 and 101,877.78 is: 152,724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,691.70 : 389,302.44 = 101,877.78 : x
  2. Step 2: Convert to fraction form
    259,691.70/389,302.44 = 101,877.78/x
  3. Step 3: Cross multiply
    259,691.70x = 389,302.44 × 101,877.78
  4. Step 4: Simplify right side
    259,691.70x = 39,661,268,335.78
  5. Step 5: Solve for x
    x = 39,661,268,335.78/259,691.70
  6. Step 6: Final answer
    x = 152,724.44

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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.