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Finding the Fourth Proportional to 273,314.88, 410,098.86 and 104,778.84

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Solution

The fourth proportional to 273,314.88, 410,098.86 and 104,778.84 is: 157,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,314.88 : 410,098.86 = 104,778.84 : x
  2. Step 2: Convert to fraction form
    273,314.88/410,098.86 = 104,778.84/x
  3. Step 3: Cross multiply
    273,314.88x = 410,098.86 × 104,778.84
  4. Step 4: Simplify right side
    273,314.88x = 42,969,682,836.12
  5. Step 5: Solve for x
    x = 42,969,682,836.12/273,314.88
  6. Step 6: Final answer
    x = 157,216.77

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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.