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Finding the Fourth Proportional to 100,811.85, 151,217.78 and 65,791.05

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Solution

The fourth proportional to 100,811.85, 151,217.78 and 65,791.05 is: 98,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,811.85 : 151,217.78 = 65,791.05 : x
  2. Step 2: Convert to fraction form
    100,811.85/151,217.78 = 65,791.05/x
  3. Step 3: Cross multiply
    100,811.85x = 151,217.78 × 65,791.05
  4. Step 4: Simplify right side
    100,811.85x = 9,948,776,195.91
  5. Step 5: Solve for x
    x = 9,948,776,195.91/100,811.85
  6. Step 6: Final answer
    x = 98,686.58

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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.