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Finding the Fourth Proportional to 193,599.10, 267,170.16 and 107,565.96

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Solution

The fourth proportional to 193,599.10, 267,170.16 and 107,565.96 is: 148,442.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,599.10 : 267,170.16 = 107,565.96 : x
  2. Step 2: Convert to fraction form
    193,599.10/267,170.16 = 107,565.96/x
  3. Step 3: Cross multiply
    193,599.10x = 267,170.16 × 107,565.96
  4. Step 4: Simplify right side
    193,599.10x = 28,738,414,743.75
  5. Step 5: Solve for x
    x = 28,738,414,743.75/193,599.10
  6. Step 6: Final answer
    x = 148,442.91

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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.