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Finding the Fourth Proportional to 232,990.32, 349,558.83 and 83,227.29

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Solution

The fourth proportional to 232,990.32, 349,558.83 and 83,227.29 is: 124,867.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,990.32 : 349,558.83 = 83,227.29 : x
  2. Step 2: Convert to fraction form
    232,990.32/349,558.83 = 83,227.29/x
  3. Step 3: Cross multiply
    232,990.32x = 349,558.83 × 83,227.29
  4. Step 4: Simplify right side
    232,990.32x = 29,092,834,116.47
  5. Step 5: Solve for x
    x = 29,092,834,116.47/232,990.32
  6. Step 6: Final answer
    x = 124,867.14

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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.