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Finding the Fourth Proportional to 109,441.38, 151,020.04 and 61,706.46

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Solution

The fourth proportional to 109,441.38, 151,020.04 and 61,706.46 is: 85,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,441.38 : 151,020.04 = 61,706.46 : x
  2. Step 2: Convert to fraction form
    109,441.38/151,020.04 = 61,706.46/x
  3. Step 3: Cross multiply
    109,441.38x = 151,020.04 × 61,706.46
  4. Step 4: Simplify right side
    109,441.38x = 9,318,912,057.46
  5. Step 5: Solve for x
    x = 9,318,912,057.46/109,441.38
  6. Step 6: Final answer
    x = 85,149.80

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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.