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Finding the Fourth Proportional to 207,902.60, 311,853.90 and 74,787.20

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Solution

The fourth proportional to 207,902.60, 311,853.90 and 74,787.20 is: 112,180.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,902.60 : 311,853.90 = 74,787.20 : x
  2. Step 2: Convert to fraction form
    207,902.60/311,853.90 = 74,787.20/x
  3. Step 3: Cross multiply
    207,902.60x = 311,853.90 × 74,787.20
  4. Step 4: Simplify right side
    207,902.60x = 23,322,679,990.08
  5. Step 5: Solve for x
    x = 23,322,679,990.08/207,902.60
  6. Step 6: Final answer
    x = 112,180.80

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Why These Related Problems?

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