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Finding the Fourth Proportional to 273,885.20, 410,827.80 and 96,390.80

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Solution

The fourth proportional to 273,885.20, 410,827.80 and 96,390.80 is: 144,586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,885.20 : 410,827.80 = 96,390.80 : x
  2. Step 2: Convert to fraction form
    273,885.20/410,827.80 = 96,390.80/x
  3. Step 3: Cross multiply
    273,885.20x = 410,827.80 × 96,390.80
  4. Step 4: Simplify right side
    273,885.20x = 39,600,020,304.24
  5. Step 5: Solve for x
    x = 39,600,020,304.24/273,885.20
  6. Step 6: Final answer
    x = 144,586.20

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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.