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Finding the Fourth Proportional to 206,270.19, 309,493.51 and 86,355.16

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Solution

The fourth proportional to 206,270.19, 309,493.51 and 86,355.16 is: 129,569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,270.19 : 309,493.51 = 86,355.16 : x
  2. Step 2: Convert to fraction form
    206,270.19/309,493.51 = 86,355.16/x
  3. Step 3: Cross multiply
    206,270.19x = 309,493.51 × 86,355.16
  4. Step 4: Simplify right side
    206,270.19x = 26,726,361,575.01
  5. Step 5: Solve for x
    x = 26,726,361,575.01/206,270.19
  6. Step 6: Final answer
    x = 129,569.68

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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.