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Finding the Fourth Proportional to 232,559.91, 348,839.06 and 82,805.90

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Solution

The fourth proportional to 232,559.91, 348,839.06 and 82,805.90 is: 124,208.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,559.91 : 348,839.06 = 82,805.90 : x
  2. Step 2: Convert to fraction form
    232,559.91/348,839.06 = 82,805.90/x
  3. Step 3: Cross multiply
    232,559.91x = 348,839.06 × 82,805.90
  4. Step 4: Simplify right side
    232,559.91x = 28,885,930,160.23
  5. Step 5: Solve for x
    x = 28,885,930,160.23/232,559.91
  6. Step 6: Final answer
    x = 124,208.55

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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.