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Finding the Fourth Proportional to 128,382.39, 177,164.38 and 71,020.22

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Solution

The fourth proportional to 128,382.39, 177,164.38 and 71,020.22 is: 98,006.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,382.39 : 177,164.38 = 71,020.22 : x
  2. Step 2: Convert to fraction form
    128,382.39/177,164.38 = 71,020.22/x
  3. Step 3: Cross multiply
    128,382.39x = 177,164.38 × 71,020.22
  4. Step 4: Simplify right side
    128,382.39x = 12,582,253,243.76
  5. Step 5: Solve for x
    x = 12,582,253,243.76/128,382.39
  6. Step 6: Final answer
    x = 98,006.07

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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.