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Finding the Fourth Proportional to 206,106.96, 308,797.38 and 180,521.04

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Solution

The fourth proportional to 206,106.96, 308,797.38 and 180,521.04 is: 270,463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,106.96 : 308,797.38 = 180,521.04 : x
  2. Step 2: Convert to fraction form
    206,106.96/308,797.38 = 180,521.04/x
  3. Step 3: Cross multiply
    206,106.96x = 308,797.38 × 180,521.04
  4. Step 4: Simplify right side
    206,106.96x = 55,744,424,186.88
  5. Step 5: Solve for x
    x = 55,744,424,186.88/206,106.96
  6. Step 6: Final answer
    x = 270,463.57

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1.5x scale

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.