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Finding the Fourth Proportional to 154,232.40, 231,694.20 and 147,934.80

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Solution

The fourth proportional to 154,232.40, 231,694.20 and 147,934.80 is: 222,233.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,232.40 : 231,694.20 = 147,934.80 : x
  2. Step 2: Convert to fraction form
    154,232.40/231,694.20 = 147,934.80/x
  3. Step 3: Cross multiply
    154,232.40x = 231,694.20 × 147,934.80
  4. Step 4: Simplify right side
    154,232.40x = 34,275,635,138.16
  5. Step 5: Solve for x
    x = 34,275,635,138.16/154,232.40
  6. Step 6: Final answer
    x = 222,233.69

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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.