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Finding the Fourth Proportional to 113,907.92, 170,898.42 and 54,747.86

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Solution

The fourth proportional to 113,907.92, 170,898.42 and 54,747.86 is: 82,139.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,907.92 : 170,898.42 = 54,747.86 : x
  2. Step 2: Convert to fraction form
    113,907.92/170,898.42 = 54,747.86/x
  3. Step 3: Cross multiply
    113,907.92x = 170,898.42 × 54,747.86
  4. Step 4: Simplify right side
    113,907.92x = 9,356,322,772.38
  5. Step 5: Solve for x
    x = 9,356,322,772.38/113,907.92
  6. Step 6: Final answer
    x = 82,139.35

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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.