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Finding the Fourth Proportional to 178,484.56, 267,856.52 and 143,842.48

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Solution

The fourth proportional to 178,484.56, 267,856.52 and 143,842.48 is: 215,868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,484.56 : 267,856.52 = 143,842.48 : x
  2. Step 2: Convert to fraction form
    178,484.56/267,856.52 = 143,842.48/x
  3. Step 3: Cross multiply
    178,484.56x = 267,856.52 × 143,842.48
  4. Step 4: Simplify right side
    178,484.56x = 38,529,146,120.97
  5. Step 5: Solve for x
    x = 38,529,146,120.97/178,484.56
  6. Step 6: Final answer
    x = 215,868.23

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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.