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Finding the Fourth Proportional to 232,214.30, 348,321.45 and 82,477.70

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Solution

The fourth proportional to 232,214.30, 348,321.45 and 82,477.70 is: 123,716.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,214.30 : 348,321.45 = 82,477.70 : x
  2. Step 2: Convert to fraction form
    232,214.30/348,321.45 = 82,477.70/x
  3. Step 3: Cross multiply
    232,214.30x = 348,321.45 × 82,477.70
  4. Step 4: Simplify right side
    232,214.30x = 28,728,752,056.67
  5. Step 5: Solve for x
    x = 28,728,752,056.67/232,214.30
  6. Step 6: Final answer
    x = 123,716.55

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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.