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Finding the Fourth Proportional to 178,471.76, 267,662.84 and 73,319.76

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Solution

The fourth proportional to 178,471.76, 267,662.84 and 73,319.76 is: 109,961.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,471.76 : 267,662.84 = 73,319.76 : x
  2. Step 2: Convert to fraction form
    178,471.76/267,662.84 = 73,319.76/x
  3. Step 3: Cross multiply
    178,471.76x = 267,662.84 × 73,319.76
  4. Step 4: Simplify right side
    178,471.76x = 19,624,975,189.72
  5. Step 5: Solve for x
    x = 19,624,975,189.72/178,471.76
  6. Step 6: Final answer
    x = 109,961.24

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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.