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Finding the Fourth Proportional to 83,201.97, 124,823.94 and 23,230.39

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Solution

The fourth proportional to 83,201.97, 124,823.94 and 23,230.39 is: 34,851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,201.97 : 124,823.94 = 23,230.39 : x
  2. Step 2: Convert to fraction form
    83,201.97/124,823.94 = 23,230.39/x
  3. Step 3: Cross multiply
    83,201.97x = 124,823.94 × 23,230.39
  4. Step 4: Simplify right side
    83,201.97x = 2,899,708,807.54
  5. Step 5: Solve for x
    x = 2,899,708,807.54/83,201.97
  6. Step 6: Final answer
    x = 34,851.44

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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.