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Finding the Fourth Proportional to 232,226.56, 348,380.16 and 84,448

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Solution

The fourth proportional to 232,226.56, 348,380.16 and 84,448 is: 126,686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,226.56 : 348,380.16 = 84,448 : x
  2. Step 2: Convert to fraction form
    232,226.56/348,380.16 = 84,448/x
  3. Step 3: Cross multiply
    232,226.56x = 348,380.16 × 84,448
  4. Step 4: Simplify right side
    232,226.56x = 29,420,007,751.68
  5. Step 5: Solve for x
    x = 29,420,007,751.68/232,226.56
  6. Step 6: Final answer
    x = 126,686.66

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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.