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Finding the Fourth Proportional to 232,296.57, 348,454.30 and 110,654.57

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Solution

The fourth proportional to 232,296.57, 348,454.30 and 110,654.57 is: 165,986.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,296.57 : 348,454.30 = 110,654.57 : x
  2. Step 2: Convert to fraction form
    232,296.57/348,454.30 = 110,654.57/x
  3. Step 3: Cross multiply
    232,296.57x = 348,454.30 × 110,654.57
  4. Step 4: Simplify right side
    232,296.57x = 38,558,061,922.15
  5. Step 5: Solve for x
    x = 38,558,061,922.15/232,296.57
  6. Step 6: Final answer
    x = 165,986.36

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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.