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Finding the Fourth Proportional to 213,478.20, 320,217.30 and 65,734.20

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Solution

The fourth proportional to 213,478.20, 320,217.30 and 65,734.20 is: 98,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,478.20 : 320,217.30 = 65,734.20 : x
  2. Step 2: Convert to fraction form
    213,478.20/320,217.30 = 65,734.20/x
  3. Step 3: Cross multiply
    213,478.20x = 320,217.30 × 65,734.20
  4. Step 4: Simplify right side
    213,478.20x = 21,049,228,041.66
  5. Step 5: Solve for x
    x = 21,049,228,041.66/213,478.20
  6. Step 6: Final answer
    x = 98,601.30

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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.