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Finding the Fourth Proportional to 206,082.80, 309,124.20 and 183,921.20

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Solution

The fourth proportional to 206,082.80, 309,124.20 and 183,921.20 is: 275,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,082.80 : 309,124.20 = 183,921.20 : x
  2. Step 2: Convert to fraction form
    206,082.80/309,124.20 = 183,921.20/x
  3. Step 3: Cross multiply
    206,082.80x = 309,124.20 × 183,921.20
  4. Step 4: Simplify right side
    206,082.80x = 56,854,493,813.04
  5. Step 5: Solve for x
    x = 56,854,493,813.04/206,082.80
  6. Step 6: Final answer
    x = 275,881.80

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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.