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Finding the Fourth Proportional to 232,728.65, 321,064.31 and 146,635.37

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Solution

The fourth proportional to 232,728.65, 321,064.31 and 146,635.37 is: 202,293.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,728.65 : 321,064.31 = 146,635.37 : x
  2. Step 2: Convert to fraction form
    232,728.65/321,064.31 = 146,635.37/x
  3. Step 3: Cross multiply
    232,728.65x = 321,064.31 × 146,635.37
  4. Step 4: Simplify right side
    232,728.65x = 47,079,381,552.15
  5. Step 5: Solve for x
    x = 47,079,381,552.15/232,728.65
  6. Step 6: Final answer
    x = 202,293.02

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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.