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Finding the Fourth Proportional to 227,825.28, 314,400.96 and 132,336

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Solution

The fourth proportional to 227,825.28, 314,400.96 and 132,336 is: 182,624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,825.28 : 314,400.96 = 132,336 : x
  2. Step 2: Convert to fraction form
    227,825.28/314,400.96 = 132,336/x
  3. Step 3: Cross multiply
    227,825.28x = 314,400.96 × 132,336
  4. Step 4: Simplify right side
    227,825.28x = 41,606,565,442.56
  5. Step 5: Solve for x
    x = 41,606,565,442.56/227,825.28
  6. Step 6: Final answer
    x = 182,624.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.