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Finding the Fourth Proportional to 148,023.71, 204,260.38 and 83,489.39

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Solution

The fourth proportional to 148,023.71, 204,260.38 and 83,489.39 is: 115,208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,023.71 : 204,260.38 = 83,489.39 : x
  2. Step 2: Convert to fraction form
    148,023.71/204,260.38 = 83,489.39/x
  3. Step 3: Cross multiply
    148,023.71x = 204,260.38 × 83,489.39
  4. Step 4: Simplify right side
    148,023.71x = 17,053,573,088.62
  5. Step 5: Solve for x
    x = 17,053,573,088.62/148,023.71
  6. Step 6: Final answer
    x = 115,208.39

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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.