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Finding the Fourth Proportional to 207,758.90, 311,784.15 and 133,060.70

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Solution

The fourth proportional to 207,758.90, 311,784.15 and 133,060.70 is: 199,684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,758.90 : 311,784.15 = 133,060.70 : x
  2. Step 2: Convert to fraction form
    207,758.90/311,784.15 = 133,060.70/x
  3. Step 3: Cross multiply
    207,758.90x = 311,784.15 × 133,060.70
  4. Step 4: Simplify right side
    207,758.90x = 41,486,217,247.91
  5. Step 5: Solve for x
    x = 41,486,217,247.91/207,758.90
  6. Step 6: Final answer
    x = 199,684.43

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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.