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Finding the Fourth Proportional to 206,268.26, 309,490.61 and 86,353.22

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Solution

The fourth proportional to 206,268.26, 309,490.61 and 86,353.22 is: 129,566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,268.26 : 309,490.61 = 86,353.22 : x
  2. Step 2: Convert to fraction form
    206,268.26/309,490.61 = 86,353.22/x
  3. Step 3: Cross multiply
    206,268.26x = 309,490.61 × 86,353.22
  4. Step 4: Simplify right side
    206,268.26x = 26,725,511,075.22
  5. Step 5: Solve for x
    x = 26,725,511,075.22/206,268.26
  6. Step 6: Final answer
    x = 129,566.77

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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.