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Finding the Fourth Proportional to 206,813.70, 310,220.55 and 135,954.90

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Solution

The fourth proportional to 206,813.70, 310,220.55 and 135,954.90 is: 203,932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,813.70 : 310,220.55 = 135,954.90 : x
  2. Step 2: Convert to fraction form
    206,813.70/310,220.55 = 135,954.90/x
  3. Step 3: Cross multiply
    206,813.70x = 310,220.55 × 135,954.90
  4. Step 4: Simplify right side
    206,813.70x = 42,176,003,853.20
  5. Step 5: Solve for x
    x = 42,176,003,853.20/206,813.70
  6. Step 6: Final answer
    x = 203,932.35

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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.