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Finding the Fourth Proportional to 109,694.16, 151,375.32 and 61,945.92

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Solution

The fourth proportional to 109,694.16, 151,375.32 and 61,945.92 is: 85,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,694.16 : 151,375.32 = 61,945.92 : x
  2. Step 2: Convert to fraction form
    109,694.16/151,375.32 = 61,945.92/x
  3. Step 3: Cross multiply
    109,694.16x = 151,375.32 × 61,945.92
  4. Step 4: Simplify right side
    109,694.16x = 9,377,083,462.69
  5. Step 5: Solve for x
    x = 9,377,083,462.69/109,694.16
  6. Step 6: Final answer
    x = 85,483.89

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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.