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Finding the Fourth Proportional to 232,990.81, 349,559.57 and 83,227.79

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Solution

The fourth proportional to 232,990.81, 349,559.57 and 83,227.79 is: 124,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,990.81 : 349,559.57 = 83,227.79 : x
  2. Step 2: Convert to fraction form
    232,990.81/349,559.57 = 83,227.79/x
  3. Step 3: Cross multiply
    232,990.81x = 349,559.57 × 83,227.79
  4. Step 4: Simplify right side
    232,990.81x = 29,093,070,484.45
  5. Step 5: Solve for x
    x = 29,093,070,484.45/232,990.81
  6. Step 6: Final answer
    x = 124,867.89

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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.