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Finding the Fourth Proportional to 232,906.56, 321,412.32 and 132,308.16

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Solution

The fourth proportional to 232,906.56, 321,412.32 and 132,308.16 is: 182,585.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,906.56 : 321,412.32 = 132,308.16 : x
  2. Step 2: Convert to fraction form
    232,906.56/321,412.32 = 132,308.16/x
  3. Step 3: Cross multiply
    232,906.56x = 321,412.32 × 132,308.16
  4. Step 4: Simplify right side
    232,906.56x = 42,525,472,660.53
  5. Step 5: Solve for x
    x = 42,525,472,660.53/232,906.56
  6. Step 6: Final answer
    x = 182,585.98

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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.