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Finding the Fourth Proportional to 206,208.96, 309,263.04 and 65,938.56

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Solution

The fourth proportional to 206,208.96, 309,263.04 and 65,938.56 is: 98,891.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,208.96 : 309,263.04 = 65,938.56 : x
  2. Step 2: Convert to fraction form
    206,208.96/309,263.04 = 65,938.56/x
  3. Step 3: Cross multiply
    206,208.96x = 309,263.04 × 65,938.56
  4. Step 4: Simplify right side
    206,208.96x = 20,392,359,518.82
  5. Step 5: Solve for x
    x = 20,392,359,518.82/206,208.96
  6. Step 6: Final answer
    x = 98,891.72

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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.