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Finding the Fourth Proportional to 273,951.48, 410,922.75 and 105,508.74

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Solution

The fourth proportional to 273,951.48, 410,922.75 and 105,508.74 is: 158,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,951.48 : 410,922.75 = 105,508.74 : x
  2. Step 2: Convert to fraction form
    273,951.48/410,922.75 = 105,508.74/x
  3. Step 3: Cross multiply
    273,951.48x = 410,922.75 × 105,508.74
  4. Step 4: Simplify right side
    273,951.48x = 43,355,941,589.84
  5. Step 5: Solve for x
    x = 43,355,941,589.84/273,951.48
  6. Step 6: Final answer
    x = 158,261.39

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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.