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Finding the Fourth Proportional to 206,351.64, 309,572.02 and 64,194.22

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Solution

The fourth proportional to 206,351.64, 309,572.02 and 64,194.22 is: 96,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,351.64 : 309,572.02 = 64,194.22 : x
  2. Step 2: Convert to fraction form
    206,351.64/309,572.02 = 64,194.22/x
  3. Step 3: Cross multiply
    206,351.64x = 309,572.02 × 64,194.22
  4. Step 4: Simplify right side
    206,351.64x = 19,872,734,357.72
  5. Step 5: Solve for x
    x = 19,872,734,357.72/206,351.64
  6. Step 6: Final answer
    x = 96,305.19

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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.