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Finding the Fourth Proportional to 151,951.80, 209,706.11 and 83,982.05

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Solution

The fourth proportional to 151,951.80, 209,706.11 and 83,982.05 is: 115,902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,951.80 : 209,706.11 = 83,982.05 : x
  2. Step 2: Convert to fraction form
    151,951.80/209,706.11 = 83,982.05/x
  3. Step 3: Cross multiply
    151,951.80x = 209,706.11 × 83,982.05
  4. Step 4: Simplify right side
    151,951.80x = 17,611,548,176.75
  5. Step 5: Solve for x
    x = 17,611,548,176.75/151,951.80
  6. Step 6: Final answer
    x = 115,902.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.