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Finding the Fourth Proportional to 232,214.80, 348,322.20 and 82,478.20

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Solution

The fourth proportional to 232,214.80, 348,322.20 and 82,478.20 is: 123,717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,214.80 : 348,322.20 = 82,478.20 : x
  2. Step 2: Convert to fraction form
    232,214.80/348,322.20 = 82,478.20/x
  3. Step 3: Cross multiply
    232,214.80x = 348,322.20 × 82,478.20
  4. Step 4: Simplify right side
    232,214.80x = 28,728,988,076.04
  5. Step 5: Solve for x
    x = 28,728,988,076.04/232,214.80
  6. Step 6: Final answer
    x = 123,717.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.