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Finding the Fourth Proportional to 206,114, 309,057.40 and 63,919.92

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Solution

The fourth proportional to 206,114, 309,057.40 and 63,919.92 is: 95,844.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,114 : 309,057.40 = 63,919.92 : x
  2. Step 2: Convert to fraction form
    206,114/309,057.40 = 63,919.92/x
  3. Step 3: Cross multiply
    206,114x = 309,057.40 × 63,919.92
  4. Step 4: Simplify right side
    206,114x = 19,754,924,283.41
  5. Step 5: Solve for x
    x = 19,754,924,283.41/206,114
  6. Step 6: Final answer
    x = 95,844.65

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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.