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Finding the Fourth Proportional to 78,833.70, 118,250.55 and 75,771.90

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Solution

The fourth proportional to 78,833.70, 118,250.55 and 75,771.90 is: 113,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,833.70 : 118,250.55 = 75,771.90 : x
  2. Step 2: Convert to fraction form
    78,833.70/118,250.55 = 75,771.90/x
  3. Step 3: Cross multiply
    78,833.70x = 118,250.55 × 75,771.90
  4. Step 4: Simplify right side
    78,833.70x = 8,960,068,849.55
  5. Step 5: Solve for x
    x = 8,960,068,849.55/78,833.70
  6. Step 6: Final answer
    x = 113,657.85

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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.