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Finding the Fourth Proportional to 232,894.60, 349,764.30 and 203,864.20

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Solution

The fourth proportional to 232,894.60, 349,764.30 and 203,864.20 is: 306,166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,894.60 : 349,764.30 = 203,864.20 : x
  2. Step 2: Convert to fraction form
    232,894.60/349,764.30 = 203,864.20/x
  3. Step 3: Cross multiply
    232,894.60x = 349,764.30 × 203,864.20
  4. Step 4: Simplify right side
    232,894.60x = 71,304,419,208.06
  5. Step 5: Solve for x
    x = 71,304,419,208.06/232,894.60
  6. Step 6: Final answer
    x = 306,166.05

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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.