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Finding the Fourth Proportional to 260,022.80, 390,034.20 and 82,543.70

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Solution

The fourth proportional to 260,022.80, 390,034.20 and 82,543.70 is: 123,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,022.80 : 390,034.20 = 82,543.70 : x
  2. Step 2: Convert to fraction form
    260,022.80/390,034.20 = 82,543.70/x
  3. Step 3: Cross multiply
    260,022.80x = 390,034.20 × 82,543.70
  4. Step 4: Simplify right side
    260,022.80x = 32,194,865,994.54
  5. Step 5: Solve for x
    x = 32,194,865,994.54/260,022.80
  6. Step 6: Final answer
    x = 123,815.55

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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.