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Finding the Fourth Proportional to 273,869.20, 410,803.80 and 96,374.80

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Solution

The fourth proportional to 273,869.20, 410,803.80 and 96,374.80 is: 144,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,869.20 : 410,803.80 = 96,374.80 : x
  2. Step 2: Convert to fraction form
    273,869.20/410,803.80 = 96,374.80/x
  3. Step 3: Cross multiply
    273,869.20x = 410,803.80 × 96,374.80
  4. Step 4: Simplify right side
    273,869.20x = 39,591,134,064.24
  5. Step 5: Solve for x
    x = 39,591,134,064.24/273,869.20
  6. Step 6: Final answer
    x = 144,562.20

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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.