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Finding the Fourth Proportional to 120,815.46, 166,718.16 and 67,099.14

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Solution

The fourth proportional to 120,815.46, 166,718.16 and 67,099.14 is: 92,592.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,815.46 : 166,718.16 = 67,099.14 : x
  2. Step 2: Convert to fraction form
    120,815.46/166,718.16 = 67,099.14/x
  3. Step 3: Cross multiply
    120,815.46x = 166,718.16 × 67,099.14
  4. Step 4: Simplify right side
    120,815.46x = 11,186,645,158.38
  5. Step 5: Solve for x
    x = 11,186,645,158.38/120,815.46
  6. Step 6: Final answer
    x = 92,592.83

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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.