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Finding the Fourth Proportional to 232,489.80, 348,648.30 and 92,219.40

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Solution

The fourth proportional to 232,489.80, 348,648.30 and 92,219.40 is: 138,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,489.80 : 348,648.30 = 92,219.40 : x
  2. Step 2: Convert to fraction form
    232,489.80/348,648.30 = 92,219.40/x
  3. Step 3: Cross multiply
    232,489.80x = 348,648.30 × 92,219.40
  4. Step 4: Simplify right side
    232,489.80x = 32,152,137,037.02
  5. Step 5: Solve for x
    x = 32,152,137,037.02/232,489.80
  6. Step 6: Final answer
    x = 138,294.83

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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.