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Finding the Fourth Proportional to 213,471.20, 320,206.80 and 65,727.20

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Solution

The fourth proportional to 213,471.20, 320,206.80 and 65,727.20 is: 98,590.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,471.20 : 320,206.80 = 65,727.20 : x
  2. Step 2: Convert to fraction form
    213,471.20/320,206.80 = 65,727.20/x
  3. Step 3: Cross multiply
    213,471.20x = 320,206.80 × 65,727.20
  4. Step 4: Simplify right side
    213,471.20x = 21,046,296,384.96
  5. Step 5: Solve for x
    x = 21,046,296,384.96/213,471.20
  6. Step 6: Final answer
    x = 98,590.80

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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.