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Finding the Fourth Proportional to 231,382.20, 346,842.90 and 106,505.40

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Solution

The fourth proportional to 231,382.20, 346,842.90 and 106,505.40 is: 159,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,382.20 : 346,842.90 = 106,505.40 : x
  2. Step 2: Convert to fraction form
    231,382.20/346,842.90 = 106,505.40/x
  3. Step 3: Cross multiply
    231,382.20x = 346,842.90 × 106,505.40
  4. Step 4: Simplify right side
    231,382.20x = 36,940,641,801.66
  5. Step 5: Solve for x
    x = 36,940,641,801.66/231,382.20
  6. Step 6: Final answer
    x = 159,652.05

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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.