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Finding the Fourth Proportional to 227,754.64, 314,278.14 and 132,281.56

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Solution

The fourth proportional to 227,754.64, 314,278.14 and 132,281.56 is: 182,535.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,754.64 : 314,278.14 = 132,281.56 : x
  2. Step 2: Convert to fraction form
    227,754.64/314,278.14 = 132,281.56/x
  3. Step 3: Cross multiply
    227,754.64x = 314,278.14 × 132,281.56
  4. Step 4: Simplify right side
    227,754.64x = 41,573,202,633.10
  5. Step 5: Solve for x
    x = 41,573,202,633.10/227,754.64
  6. Step 6: Final answer
    x = 182,535.04

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Why These Related Problems?

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