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Finding the Fourth Proportional to 342,023.25, 513,042.17 and 117,382.71

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Solution

The fourth proportional to 342,023.25, 513,042.17 and 117,382.71 is: 176,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,023.25 : 513,042.17 = 117,382.71 : x
  2. Step 2: Convert to fraction form
    342,023.25/513,042.17 = 117,382.71/x
  3. Step 3: Cross multiply
    342,023.25x = 513,042.17 × 117,382.71
  4. Step 4: Simplify right side
    342,023.25x = 60,222,279,671.97
  5. Step 5: Solve for x
    x = 60,222,279,671.97/342,023.25
  6. Step 6: Final answer
    x = 176,076.57

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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.