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Finding the Fourth Proportional to 160,489.58, 240,591.61 and 76,197.74

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Solution

The fourth proportional to 160,489.58, 240,591.61 and 76,197.74 is: 114,228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,489.58 : 240,591.61 = 76,197.74 : x
  2. Step 2: Convert to fraction form
    160,489.58/240,591.61 = 76,197.74/x
  3. Step 3: Cross multiply
    160,489.58x = 240,591.61 × 76,197.74
  4. Step 4: Simplify right side
    160,489.58x = 18,332,536,754.47
  5. Step 5: Solve for x
    x = 18,332,536,754.47/160,489.58
  6. Step 6: Final answer
    x = 114,228.83

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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.