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Finding the Fourth Proportional to 207,960.80, 311,941.20 and 158,808.80

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Solution

The fourth proportional to 207,960.80, 311,941.20 and 158,808.80 is: 238,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,960.80 : 311,941.20 = 158,808.80 : x
  2. Step 2: Convert to fraction form
    207,960.80/311,941.20 = 158,808.80/x
  3. Step 3: Cross multiply
    207,960.80x = 311,941.20 × 158,808.80
  4. Step 4: Simplify right side
    207,960.80x = 49,539,007,642.56
  5. Step 5: Solve for x
    x = 49,539,007,642.56/207,960.80
  6. Step 6: Final answer
    x = 238,213.20

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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.