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Finding the Fourth Proportional to 178,082.96, 267,132.64 and 99,137.73

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Solution

The fourth proportional to 178,082.96, 267,132.64 and 99,137.73 is: 148,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,082.96 : 267,132.64 = 99,137.73 : x
  2. Step 2: Convert to fraction form
    178,082.96/267,132.64 = 99,137.73/x
  3. Step 3: Cross multiply
    178,082.96x = 267,132.64 × 99,137.73
  4. Step 4: Simplify right side
    178,082.96x = 26,482,923,538.51
  5. Step 5: Solve for x
    x = 26,482,923,538.51/178,082.96
  6. Step 6: Final answer
    x = 148,711.16

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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.