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Finding the Fourth Proportional to 273,828.85, 410,712.13 and 74,164.80

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Solution

The fourth proportional to 273,828.85, 410,712.13 and 74,164.80 is: 111,238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,828.85 : 410,712.13 = 74,164.80 : x
  2. Step 2: Convert to fraction form
    273,828.85/410,712.13 = 74,164.80/x
  3. Step 3: Cross multiply
    273,828.85x = 410,712.13 × 74,164.80
  4. Step 4: Simplify right side
    273,828.85x = 30,460,382,979.02
  5. Step 5: Solve for x
    x = 30,460,382,979.02/273,828.85
  6. Step 6: Final answer
    x = 111,238.76

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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.