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Finding the Fourth Proportional to 273,758.82, 410,566.95 and 115,906.02

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Solution

The fourth proportional to 273,758.82, 410,566.95 and 115,906.02 is: 173,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,758.82 : 410,566.95 = 115,906.02 : x
  2. Step 2: Convert to fraction form
    273,758.82/410,566.95 = 115,906.02/x
  3. Step 3: Cross multiply
    273,758.82x = 410,566.95 × 115,906.02
  4. Step 4: Simplify right side
    273,758.82x = 47,587,181,118.04
  5. Step 5: Solve for x
    x = 47,587,181,118.04/273,758.82
  6. Step 6: Final answer
    x = 173,828.85

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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.