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Finding the Fourth Proportional to 206,666.92, 285,203.46 and 199,515.40

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Solution

The fourth proportional to 206,666.92, 285,203.46 and 199,515.40 is: 275,334.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,666.92 : 285,203.46 = 199,515.40 : x
  2. Step 2: Convert to fraction form
    206,666.92/285,203.46 = 199,515.40/x
  3. Step 3: Cross multiply
    206,666.92x = 285,203.46 × 199,515.40
  4. Step 4: Simplify right side
    206,666.92x = 56,902,482,403.28
  5. Step 5: Solve for x
    x = 56,902,482,403.28/206,666.92
  6. Step 6: Final answer
    x = 275,334.25

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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.