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Finding the Fourth Proportional to 231,195.60, 346,724.28 and 120,327.12

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Solution

The fourth proportional to 231,195.60, 346,724.28 and 120,327.12 is: 180,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,195.60 : 346,724.28 = 120,327.12 : x
  2. Step 2: Convert to fraction form
    231,195.60/346,724.28 = 120,327.12/x
  3. Step 3: Cross multiply
    231,195.60x = 346,724.28 × 120,327.12
  4. Step 4: Simplify right side
    231,195.60x = 41,720,334,046.47
  5. Step 5: Solve for x
    x = 41,720,334,046.47/231,195.60
  6. Step 6: Final answer
    x = 180,454.71

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1.5x scale

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.