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Finding the Fourth Proportional to 208,320.80, 310,651.90 and 206,426.30

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Solution

The fourth proportional to 208,320.80, 310,651.90 and 206,426.30 is: 307,826.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,320.80 : 310,651.90 = 206,426.30 : x
  2. Step 2: Convert to fraction form
    208,320.80/310,651.90 = 206,426.30/x
  3. Step 3: Cross multiply
    208,320.80x = 310,651.90 × 206,426.30
  4. Step 4: Simplify right side
    208,320.80x = 64,126,722,304.97
  5. Step 5: Solve for x
    x = 64,126,722,304.97/208,320.80
  6. Step 6: Final answer
    x = 307,826.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.