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Finding the Fourth Proportional to 107,229.76, 160,844.64 and 73,462.48

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Solution

The fourth proportional to 107,229.76, 160,844.64 and 73,462.48 is: 110,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,229.76 : 160,844.64 = 73,462.48 : x
  2. Step 2: Convert to fraction form
    107,229.76/160,844.64 = 73,462.48/x
  3. Step 3: Cross multiply
    107,229.76x = 160,844.64 × 73,462.48
  4. Step 4: Simplify right side
    107,229.76x = 11,816,046,149.11
  5. Step 5: Solve for x
    x = 11,816,046,149.11/107,229.76
  6. Step 6: Final answer
    x = 110,193.72

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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.