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Finding the Fourth Proportional to 207,967.80, 311,951.70 and 158,815.80

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Solution

The fourth proportional to 207,967.80, 311,951.70 and 158,815.80 is: 238,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,967.80 : 311,951.70 = 158,815.80 : x
  2. Step 2: Convert to fraction form
    207,967.80/311,951.70 = 158,815.80/x
  3. Step 3: Cross multiply
    207,967.80x = 311,951.70 × 158,815.80
  4. Step 4: Simplify right side
    207,967.80x = 49,542,858,796.86
  5. Step 5: Solve for x
    x = 49,542,858,796.86/207,967.80
  6. Step 6: Final answer
    x = 238,223.70

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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.