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Finding the Fourth Proportional to 206,067.14, 309,159.75 and 100,916.90

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Solution

The fourth proportional to 206,067.14, 309,159.75 and 100,916.90 is: 151,404.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,067.14 : 309,159.75 = 100,916.90 : x
  2. Step 2: Convert to fraction form
    206,067.14/309,159.75 = 100,916.90/x
  3. Step 3: Cross multiply
    206,067.14x = 309,159.75 × 100,916.90
  4. Step 4: Simplify right side
    206,067.14x = 31,199,443,574.78
  5. Step 5: Solve for x
    x = 31,199,443,574.78/206,067.14
  6. Step 6: Final answer
    x = 151,404.26

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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.