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Finding the Fourth Proportional to 136,902.20, 205,482.90 and 84,414.20

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Solution

The fourth proportional to 136,902.20, 205,482.90 and 84,414.20 is: 126,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,902.20 : 205,482.90 = 84,414.20 : x
  2. Step 2: Convert to fraction form
    136,902.20/205,482.90 = 84,414.20/x
  3. Step 3: Cross multiply
    136,902.20x = 205,482.90 × 84,414.20
  4. Step 4: Simplify right side
    136,902.20x = 17,345,674,617.18
  5. Step 5: Solve for x
    x = 17,345,674,617.18/136,902.20
  6. Step 6: Final answer
    x = 126,701.21

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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.