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Finding the Fourth Proportional to 232,370.80, 348,486.40 and 82,591.40

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Solution

The fourth proportional to 232,370.80, 348,486.40 and 82,591.40 is: 123,862.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,370.80 : 348,486.40 = 82,591.40 : x
  2. Step 2: Convert to fraction form
    232,370.80/348,486.40 = 82,591.40/x
  3. Step 3: Cross multiply
    232,370.80x = 348,486.40 × 82,591.40
  4. Step 4: Simplify right side
    232,370.80x = 28,781,979,656.96
  5. Step 5: Solve for x
    x = 28,781,979,656.96/232,370.80
  6. Step 6: Final answer
    x = 123,862.29

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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.