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Finding the Fourth Proportional to 232,932.16, 321,446.64 and 132,349.60

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Solution

The fourth proportional to 232,932.16, 321,446.64 and 132,349.60 is: 182,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,932.16 : 321,446.64 = 132,349.60 : x
  2. Step 2: Convert to fraction form
    232,932.16/321,446.64 = 132,349.60/x
  3. Step 3: Cross multiply
    232,932.16x = 321,446.64 × 132,349.60
  4. Step 4: Simplify right side
    232,932.16x = 42,543,334,225.34
  5. Step 5: Solve for x
    x = 42,543,334,225.34/232,932.16
  6. Step 6: Final answer
    x = 182,642.60

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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.