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Finding the Fourth Proportional to 109,478.38, 151,080.06 and 59,177.38

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Solution

The fourth proportional to 109,478.38, 151,080.06 and 59,177.38 is: 81,664.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,478.38 : 151,080.06 = 59,177.38 : x
  2. Step 2: Convert to fraction form
    109,478.38/151,080.06 = 59,177.38/x
  3. Step 3: Cross multiply
    109,478.38x = 151,080.06 × 59,177.38
  4. Step 4: Simplify right side
    109,478.38x = 8,940,522,121.04
  5. Step 5: Solve for x
    x = 8,940,522,121.04/109,478.38
  6. Step 6: Final answer
    x = 81,664.73

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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.