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Finding the Fourth Proportional to 206,494.76, 284,991.90 and 120,482.12

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Solution

The fourth proportional to 206,494.76, 284,991.90 and 120,482.12 is: 166,282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,494.76 : 284,991.90 = 120,482.12 : x
  2. Step 2: Convert to fraction form
    206,494.76/284,991.90 = 120,482.12/x
  3. Step 3: Cross multiply
    206,494.76x = 284,991.90 × 120,482.12
  4. Step 4: Simplify right side
    206,494.76x = 34,336,428,294.83
  5. Step 5: Solve for x
    x = 34,336,428,294.83/206,494.76
  6. Step 6: Final answer
    x = 166,282.32

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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.