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Finding the Fourth Proportional to 227,470.32, 340,505.52 and 148,414.32

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Solution

The fourth proportional to 227,470.32, 340,505.52 and 148,414.32 is: 222,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,470.32 : 340,505.52 = 148,414.32 : x
  2. Step 2: Convert to fraction form
    227,470.32/340,505.52 = 148,414.32/x
  3. Step 3: Cross multiply
    227,470.32x = 340,505.52 × 148,414.32
  4. Step 4: Simplify right side
    227,470.32x = 50,535,895,207.05
  5. Step 5: Solve for x
    x = 50,535,895,207.05/227,470.32
  6. Step 6: Final answer
    x = 222,164.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.