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Finding the Fourth Proportional to 113,909.92, 170,901.44 and 54,749.88

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Solution

The fourth proportional to 113,909.92, 170,901.44 and 54,749.88 is: 82,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,909.92 : 170,901.44 = 54,749.88 : x
  2. Step 2: Convert to fraction form
    113,909.92/170,901.44 = 54,749.88/x
  3. Step 3: Cross multiply
    113,909.92x = 170,901.44 × 54,749.88
  4. Step 4: Simplify right side
    113,909.92x = 9,356,833,331.83
  5. Step 5: Solve for x
    x = 9,356,833,331.83/113,909.92
  6. Step 6: Final answer
    x = 82,142.39

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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.