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Finding the Fourth Proportional to 128,920.38, 177,873.62 and 83,600.22

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Solution

The fourth proportional to 128,920.38, 177,873.62 and 83,600.22 is: 115,344.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,920.38 : 177,873.62 = 83,600.22 : x
  2. Step 2: Convert to fraction form
    128,920.38/177,873.62 = 83,600.22/x
  3. Step 3: Cross multiply
    128,920.38x = 177,873.62 × 83,600.22
  4. Step 4: Simplify right side
    128,920.38x = 14,870,273,764.20
  5. Step 5: Solve for x
    x = 14,870,273,764.20/128,920.38
  6. Step 6: Final answer
    x = 115,344.63

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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.