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Finding the Fourth Proportional to 206,722.20, 310,083.30 and 180,478.20

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Solution

The fourth proportional to 206,722.20, 310,083.30 and 180,478.20 is: 270,717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,722.20 : 310,083.30 = 180,478.20 : x
  2. Step 2: Convert to fraction form
    206,722.20/310,083.30 = 180,478.20/x
  3. Step 3: Cross multiply
    206,722.20x = 310,083.30 × 180,478.20
  4. Step 4: Simplify right side
    206,722.20x = 55,963,275,834.06
  5. Step 5: Solve for x
    x = 55,963,275,834.06/206,722.20
  6. Step 6: Final answer
    x = 270,717.30

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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.