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Finding the Fourth Proportional to 160,049.64, 240,086.14 and 54,867.72

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Solution

The fourth proportional to 160,049.64, 240,086.14 and 54,867.72 is: 82,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,049.64 : 240,086.14 = 54,867.72 : x
  2. Step 2: Convert to fraction form
    160,049.64/240,086.14 = 54,867.72/x
  3. Step 3: Cross multiply
    160,049.64x = 240,086.14 × 54,867.72
  4. Step 4: Simplify right side
    160,049.64x = 13,172,979,105.40
  5. Step 5: Solve for x
    x = 13,172,979,105.40/160,049.64
  6. Step 6: Final answer
    x = 82,305.58

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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.