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Finding the Fourth Proportional to 107,318.72, 160,978.08 and 37,198.04

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Solution

The fourth proportional to 107,318.72, 160,978.08 and 37,198.04 is: 55,797.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,318.72 : 160,978.08 = 37,198.04 : x
  2. Step 2: Convert to fraction form
    107,318.72/160,978.08 = 37,198.04/x
  3. Step 3: Cross multiply
    107,318.72x = 160,978.08 × 37,198.04
  4. Step 4: Simplify right side
    107,318.72x = 5,988,068,393.57
  5. Step 5: Solve for x
    x = 5,988,068,393.57/107,318.72
  6. Step 6: Final answer
    x = 55,797.05

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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.