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Finding the Fourth Proportional to 232,202.56, 320,443.14 and 130,250.65

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Solution

The fourth proportional to 232,202.56, 320,443.14 and 130,250.65 is: 179,747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,202.56 : 320,443.14 = 130,250.65 : x
  2. Step 2: Convert to fraction form
    232,202.56/320,443.14 = 130,250.65/x
  3. Step 3: Cross multiply
    232,202.56x = 320,443.14 × 130,250.65
  4. Step 4: Simplify right side
    232,202.56x = 41,737,927,273.04
  5. Step 5: Solve for x
    x = 41,737,927,273.04/232,202.56
  6. Step 6: Final answer
    x = 179,747.92

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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.