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Finding the Fourth Proportional to 232,227.56, 348,381.66 and 84,449

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Solution

The fourth proportional to 232,227.56, 348,381.66 and 84,449 is: 126,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,227.56 : 348,381.66 = 84,449 : x
  2. Step 2: Convert to fraction form
    232,227.56/348,381.66 = 84,449/x
  3. Step 3: Cross multiply
    232,227.56x = 348,381.66 × 84,449
  4. Step 4: Simplify right side
    232,227.56x = 29,420,482,805.34
  5. Step 5: Solve for x
    x = 29,420,482,805.34/232,227.56
  6. Step 6: Final answer
    x = 126,688.16

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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.