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Finding the Fourth Proportional to 206,599.72, 285,207.78 and 138,592.36

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Solution

The fourth proportional to 206,599.72, 285,207.78 and 138,592.36 is: 191,324.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,599.72 : 285,207.78 = 138,592.36 : x
  2. Step 2: Convert to fraction form
    206,599.72/285,207.78 = 138,592.36/x
  3. Step 3: Cross multiply
    206,599.72x = 285,207.78 × 138,592.36
  4. Step 4: Simplify right side
    206,599.72x = 39,527,619,320.56
  5. Step 5: Solve for x
    x = 39,527,619,320.56/206,599.72
  6. Step 6: Final answer
    x = 191,324.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.