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Finding the Fourth Proportional to 206,352.64, 309,573.52 and 64,195.22

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Solution

The fourth proportional to 206,352.64, 309,573.52 and 64,195.22 is: 96,306.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,352.64 : 309,573.52 = 64,195.22 : x
  2. Step 2: Convert to fraction form
    206,352.64/309,573.52 = 64,195.22/x
  3. Step 3: Cross multiply
    206,352.64x = 309,573.52 × 64,195.22
  4. Step 4: Simplify right side
    206,352.64x = 19,873,140,222.57
  5. Step 5: Solve for x
    x = 19,873,140,222.57/206,352.64
  6. Step 6: Final answer
    x = 96,306.69

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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.