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Finding the Fourth Proportional to 230,854.20, 346,086.90 and 120,046.20

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Solution

The fourth proportional to 230,854.20, 346,086.90 and 120,046.20 is: 179,968.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,854.20 : 346,086.90 = 120,046.20 : x
  2. Step 2: Convert to fraction form
    230,854.20/346,086.90 = 120,046.20/x
  3. Step 3: Cross multiply
    230,854.20x = 346,086.90 × 120,046.20
  4. Step 4: Simplify right side
    230,854.20x = 41,546,417,214.78
  5. Step 5: Solve for x
    x = 41,546,417,214.78/230,854.20
  6. Step 6: Final answer
    x = 179,968.21

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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.