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Finding the Fourth Proportional to 206,646.20, 309,969.30 and 180,402.20

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Solution

The fourth proportional to 206,646.20, 309,969.30 and 180,402.20 is: 270,603.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,646.20 : 309,969.30 = 180,402.20 : x
  2. Step 2: Convert to fraction form
    206,646.20/309,969.30 = 180,402.20/x
  3. Step 3: Cross multiply
    206,646.20x = 309,969.30 × 180,402.20
  4. Step 4: Simplify right side
    206,646.20x = 55,919,143,652.46
  5. Step 5: Solve for x
    x = 55,919,143,652.46/206,646.20
  6. Step 6: Final answer
    x = 270,603.30

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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.