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Finding the Fourth Proportional to 101,049.90, 151,902.90 and 71,671.20

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Solution

The fourth proportional to 101,049.90, 151,902.90 and 71,671.20 is: 107,739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,049.90 : 151,902.90 = 71,671.20 : x
  2. Step 2: Convert to fraction form
    101,049.90/151,902.90 = 71,671.20/x
  3. Step 3: Cross multiply
    101,049.90x = 151,902.90 × 71,671.20
  4. Step 4: Simplify right side
    101,049.90x = 10,887,063,126.48
  5. Step 5: Solve for x
    x = 10,887,063,126.48/101,049.90
  6. Step 6: Final answer
    x = 107,739.47

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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.