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Finding the Fourth Proportional to 207,952.80, 311,929.20 and 83,383.20

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Solution

The fourth proportional to 207,952.80, 311,929.20 and 83,383.20 is: 125,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,952.80 : 311,929.20 = 83,383.20 : x
  2. Step 2: Convert to fraction form
    207,952.80/311,929.20 = 83,383.20/x
  3. Step 3: Cross multiply
    207,952.80x = 311,929.20 × 83,383.20
  4. Step 4: Simplify right side
    207,952.80x = 26,009,654,869.44
  5. Step 5: Solve for x
    x = 26,009,654,869.44/207,952.80
  6. Step 6: Final answer
    x = 125,074.80

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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.