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Finding the Fourth Proportional to 206,190.57, 309,334.29 and 64,028.52

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Solution

The fourth proportional to 206,190.57, 309,334.29 and 64,028.52 is: 96,057.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,190.57 : 309,334.29 = 64,028.52 : x
  2. Step 2: Convert to fraction form
    206,190.57/309,334.29 = 64,028.52/x
  3. Step 3: Cross multiply
    206,190.57x = 309,334.29 × 64,028.52
  4. Step 4: Simplify right side
    206,190.57x = 19,806,216,773.95
  5. Step 5: Solve for x
    x = 19,806,216,773.95/206,190.57
  6. Step 6: Final answer
    x = 96,057.82

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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.