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Finding the Fourth Proportional to 273,532.20, 410,298.30 and 86,543.70

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Solution

The fourth proportional to 273,532.20, 410,298.30 and 86,543.70 is: 129,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,532.20 : 410,298.30 = 86,543.70 : x
  2. Step 2: Convert to fraction form
    273,532.20/410,298.30 = 86,543.70/x
  3. Step 3: Cross multiply
    273,532.20x = 410,298.30 × 86,543.70
  4. Step 4: Simplify right side
    273,532.20x = 35,508,732,985.71
  5. Step 5: Solve for x
    x = 35,508,732,985.71/273,532.20
  6. Step 6: Final answer
    x = 129,815.55

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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.