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Finding the Fourth Proportional to 259,714.80, 389,572.20 and 82,235.70

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Solution

The fourth proportional to 259,714.80, 389,572.20 and 82,235.70 is: 123,353.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,714.80 : 389,572.20 = 82,235.70 : x
  2. Step 2: Convert to fraction form
    259,714.80/389,572.20 = 82,235.70/x
  3. Step 3: Cross multiply
    259,714.80x = 389,572.20 × 82,235.70
  4. Step 4: Simplify right side
    259,714.80x = 32,036,742,567.54
  5. Step 5: Solve for x
    x = 32,036,742,567.54/259,714.80
  6. Step 6: Final answer
    x = 123,353.55

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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.