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Finding the Fourth Proportional to 207,944.62, 311,884.40 and 67,702.30

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Solution

The fourth proportional to 207,944.62, 311,884.40 and 67,702.30 is: 101,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,944.62 : 311,884.40 = 67,702.30 : x
  2. Step 2: Convert to fraction form
    207,944.62/311,884.40 = 67,702.30/x
  3. Step 3: Cross multiply
    207,944.62x = 311,884.40 × 67,702.30
  4. Step 4: Simplify right side
    207,944.62x = 21,115,290,875.61
  5. Step 5: Solve for x
    x = 21,115,290,875.61/207,944.62
  6. Step 6: Final answer
    x = 101,542.86

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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.