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Finding the Fourth Proportional to 206,708.20, 310,062.30 and 180,464.20

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Solution

The fourth proportional to 206,708.20, 310,062.30 and 180,464.20 is: 270,696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,708.20 : 310,062.30 = 180,464.20 : x
  2. Step 2: Convert to fraction form
    206,708.20/310,062.30 = 180,464.20/x
  3. Step 3: Cross multiply
    206,708.20x = 310,062.30 × 180,464.20
  4. Step 4: Simplify right side
    206,708.20x = 55,955,144,919.66
  5. Step 5: Solve for x
    x = 55,955,144,919.66/206,708.20
  6. Step 6: Final answer
    x = 270,696.30

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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.