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Finding the Fourth Proportional to 207,952.80, 311,410.80 and 166,480.80

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Solution

The fourth proportional to 207,952.80, 311,410.80 and 166,480.80 is: 249,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,952.80 : 311,410.80 = 166,480.80 : x
  2. Step 2: Convert to fraction form
    207,952.80/311,410.80 = 166,480.80/x
  3. Step 3: Cross multiply
    207,952.80x = 311,410.80 × 166,480.80
  4. Step 4: Simplify right side
    207,952.80x = 51,843,919,112.64
  5. Step 5: Solve for x
    x = 51,843,919,112.64/207,952.80
  6. Step 6: Final answer
    x = 249,306.18

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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.