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Finding the Fourth Proportional to 229,761.92, 344,290.80 and 154,604

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Solution

The fourth proportional to 229,761.92, 344,290.80 and 154,604 is: 231,669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,761.92 : 344,290.80 = 154,604 : x
  2. Step 2: Convert to fraction form
    229,761.92/344,290.80 = 154,604/x
  3. Step 3: Cross multiply
    229,761.92x = 344,290.80 × 154,604
  4. Step 4: Simplify right side
    229,761.92x = 53,228,734,843.20
  5. Step 5: Solve for x
    x = 53,228,734,843.20/229,761.92
  6. Step 6: Final answer
    x = 231,669.09

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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.