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Finding the Fourth Proportional to 226,001.04, 338,990.58 and 83,874

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Solution

The fourth proportional to 226,001.04, 338,990.58 and 83,874 is: 125,806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,001.04 : 338,990.58 = 83,874 : x
  2. Step 2: Convert to fraction form
    226,001.04/338,990.58 = 83,874/x
  3. Step 3: Cross multiply
    226,001.04x = 338,990.58 × 83,874
  4. Step 4: Simplify right side
    226,001.04x = 28,432,495,906.92
  5. Step 5: Solve for x
    x = 28,432,495,906.92/226,001.04
  6. Step 6: Final answer
    x = 125,806.93

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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.