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Finding the Fourth Proportional to 274,891.32, 412,207.58 and 106,490.50

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Solution

The fourth proportional to 274,891.32, 412,207.58 and 106,490.50 is: 159,685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,891.32 : 412,207.58 = 106,490.50 : x
  2. Step 2: Convert to fraction form
    274,891.32/412,207.58 = 106,490.50/x
  3. Step 3: Cross multiply
    274,891.32x = 412,207.58 × 106,490.50
  4. Step 4: Simplify right side
    274,891.32x = 43,896,190,533.70
  5. Step 5: Solve for x
    x = 43,896,190,533.70/274,891.32
  6. Step 6: Final answer
    x = 159,685.62

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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.