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Finding the Fourth Proportional to 122,954.27, 184,456.27 and 51,877.09

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Solution

The fourth proportional to 122,954.27, 184,456.27 and 51,877.09 is: 77,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,954.27 : 184,456.27 = 51,877.09 : x
  2. Step 2: Convert to fraction form
    122,954.27/184,456.27 = 51,877.09/x
  3. Step 3: Cross multiply
    122,954.27x = 184,456.27 × 51,877.09
  4. Step 4: Simplify right side
    122,954.27x = 9,569,053,597.57
  5. Step 5: Solve for x
    x = 9,569,053,597.57/122,954.27
  6. Step 6: Final answer
    x = 77,826.12

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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.