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Finding the Fourth Proportional to 120,830.90, 181,246.35 and 101,147.90

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Solution

The fourth proportional to 120,830.90, 181,246.35 and 101,147.90 is: 151,721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,830.90 : 181,246.35 = 101,147.90 : x
  2. Step 2: Convert to fraction form
    120,830.90/181,246.35 = 101,147.90/x
  3. Step 3: Cross multiply
    120,830.90x = 181,246.35 × 101,147.90
  4. Step 4: Simplify right side
    120,830.90x = 18,332,687,685.17
  5. Step 5: Solve for x
    x = 18,332,687,685.17/120,830.90
  6. Step 6: Final answer
    x = 151,721.85

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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.