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Finding the Fourth Proportional to 232,587.98, 321,006.13 and 141,996.46

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Solution

The fourth proportional to 232,587.98, 321,006.13 and 141,996.46 is: 195,976.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,587.98 : 321,006.13 = 141,996.46 : x
  2. Step 2: Convert to fraction form
    232,587.98/321,006.13 = 141,996.46/x
  3. Step 3: Cross multiply
    232,587.98x = 321,006.13 × 141,996.46
  4. Step 4: Simplify right side
    232,587.98x = 45,581,734,098.30
  5. Step 5: Solve for x
    x = 45,581,734,098.30/232,587.98
  6. Step 6: Final answer
    x = 195,976.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.