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Finding the Fourth Proportional to 206,960.80, 310,441.20 and 194,713.60

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Solution

The fourth proportional to 206,960.80, 310,441.20 and 194,713.60 is: 292,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,960.80 : 310,441.20 = 194,713.60 : x
  2. Step 2: Convert to fraction form
    206,960.80/310,441.20 = 194,713.60/x
  3. Step 3: Cross multiply
    206,960.80x = 310,441.20 × 194,713.60
  4. Step 4: Simplify right side
    206,960.80x = 60,447,123,640.32
  5. Step 5: Solve for x
    x = 60,447,123,640.32/206,960.80
  6. Step 6: Final answer
    x = 292,070.40

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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.