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Finding the Fourth Proportional to 206,423.20, 309,634.80 and 127,626.40

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Solution

The fourth proportional to 206,423.20, 309,634.80 and 127,626.40 is: 191,439.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,423.20 : 309,634.80 = 127,626.40 : x
  2. Step 2: Convert to fraction form
    206,423.20/309,634.80 = 127,626.40/x
  3. Step 3: Cross multiply
    206,423.20x = 309,634.80 × 127,626.40
  4. Step 4: Simplify right side
    206,423.20x = 39,517,574,838.72
  5. Step 5: Solve for x
    x = 39,517,574,838.72/206,423.20
  6. Step 6: Final answer
    x = 191,439.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.