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Finding the Fourth Proportional to 206,577.75, 309,918.47 and 58,833.75

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Solution

The fourth proportional to 206,577.75, 309,918.47 and 58,833.75 is: 88,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,577.75 : 309,918.47 = 58,833.75 : x
  2. Step 2: Convert to fraction form
    206,577.75/309,918.47 = 58,833.75/x
  3. Step 3: Cross multiply
    206,577.75x = 309,918.47 × 58,833.75
  4. Step 4: Simplify right side
    206,577.75x = 18,233,665,490.19
  5. Step 5: Solve for x
    x = 18,233,665,490.19/206,577.75
  6. Step 6: Final answer
    x = 88,265.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.