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Finding the Fourth Proportional to 167,229.18, 250,925.76 and 78,489.90

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Solution

The fourth proportional to 167,229.18, 250,925.76 and 78,489.90 is: 117,773.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,229.18 : 250,925.76 = 78,489.90 : x
  2. Step 2: Convert to fraction form
    167,229.18/250,925.76 = 78,489.90/x
  3. Step 3: Cross multiply
    167,229.18x = 250,925.76 × 78,489.90
  4. Step 4: Simplify right side
    167,229.18x = 19,695,137,809.82
  5. Step 5: Solve for x
    x = 19,695,137,809.82/167,229.18
  6. Step 6: Final answer
    x = 117,773.33

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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.