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Finding the Fourth Proportional to 166,909.76, 250,373.28 and 42,251.84

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Solution

The fourth proportional to 166,909.76, 250,373.28 and 42,251.84 is: 63,379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,909.76 : 250,373.28 = 42,251.84 : x
  2. Step 2: Convert to fraction form
    166,909.76/250,373.28 = 42,251.84/x
  3. Step 3: Cross multiply
    166,909.76x = 250,373.28 × 42,251.84
  4. Step 4: Simplify right side
    166,909.76x = 10,578,731,766.84
  5. Step 5: Solve for x
    x = 10,578,731,766.84/166,909.76
  6. Step 6: Final answer
    x = 63,379.95

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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.