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Finding the Fourth Proportional to 78,766.72, 118,205.48 and 71,237.92

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Solution

The fourth proportional to 78,766.72, 118,205.48 and 71,237.92 is: 106,906.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,766.72 : 118,205.48 = 71,237.92 : x
  2. Step 2: Convert to fraction form
    78,766.72/118,205.48 = 71,237.92/x
  3. Step 3: Cross multiply
    78,766.72x = 118,205.48 × 71,237.92
  4. Step 4: Simplify right side
    78,766.72x = 8,420,712,527.80
  5. Step 5: Solve for x
    x = 8,420,712,527.80/78,766.72
  6. Step 6: Final answer
    x = 106,906.98

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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.