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Finding the Fourth Proportional to 107,242.84, 160,843.14 and 36,158.56

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Solution

The fourth proportional to 107,242.84, 160,843.14 and 36,158.56 is: 54,230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,242.84 : 160,843.14 = 36,158.56 : x
  2. Step 2: Convert to fraction form
    107,242.84/160,843.14 = 36,158.56/x
  3. Step 3: Cross multiply
    107,242.84x = 160,843.14 × 36,158.56
  4. Step 4: Simplify right side
    107,242.84x = 5,815,856,328.28
  5. Step 5: Solve for x
    x = 5,815,856,328.28/107,242.84
  6. Step 6: Final answer
    x = 54,230.72

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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.