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Finding the Fourth Proportional to 273,078.54, 409,335.12 and 104,558.04

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Solution

The fourth proportional to 273,078.54, 409,335.12 and 104,558.04 is: 156,728.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,078.54 : 409,335.12 = 104,558.04 : x
  2. Step 2: Convert to fraction form
    273,078.54/409,335.12 = 104,558.04/x
  3. Step 3: Cross multiply
    273,078.54x = 409,335.12 × 104,558.04
  4. Step 4: Simplify right side
    273,078.54x = 42,799,277,850.36
  5. Step 5: Solve for x
    x = 42,799,277,850.36/273,078.54
  6. Step 6: Final answer
    x = 156,728.82

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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.