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Finding the Fourth Proportional to 178,321.56, 267,439.90 and 71,705.77

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Solution

The fourth proportional to 178,321.56, 267,439.90 and 71,705.77 is: 107,541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,321.56 : 267,439.90 = 71,705.77 : x
  2. Step 2: Convert to fraction form
    178,321.56/267,439.90 = 71,705.77/x
  3. Step 3: Cross multiply
    178,321.56x = 267,439.90 × 71,705.77
  4. Step 4: Simplify right side
    178,321.56x = 19,176,983,958.22
  5. Step 5: Solve for x
    x = 19,176,983,958.22/178,321.56
  6. Step 6: Final answer
    x = 107,541.59

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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.