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Finding the Fourth Proportional to 159,073.44, 238,398.48 and 84,177.60

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Solution

The fourth proportional to 159,073.44, 238,398.48 and 84,177.60 is: 126,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,073.44 : 238,398.48 = 84,177.60 : x
  2. Step 2: Convert to fraction form
    159,073.44/238,398.48 = 84,177.60/x
  3. Step 3: Cross multiply
    159,073.44x = 238,398.48 × 84,177.60
  4. Step 4: Simplify right side
    159,073.44x = 20,067,811,890.05
  5. Step 5: Solve for x
    x = 20,067,811,890.05/159,073.44
  6. Step 6: Final answer
    x = 126,154.38

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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.