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Finding the Fourth Proportional to 122,077.22, 183,183.87 and 65,916.14

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Solution

The fourth proportional to 122,077.22, 183,183.87 and 65,916.14 is: 98,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,077.22 : 183,183.87 = 65,916.14 : x
  2. Step 2: Convert to fraction form
    122,077.22/183,183.87 = 65,916.14/x
  3. Step 3: Cross multiply
    122,077.22x = 183,183.87 × 65,916.14
  4. Step 4: Simplify right side
    122,077.22x = 12,074,773,620.66
  5. Step 5: Solve for x
    x = 12,074,773,620.66/122,077.22
  6. Step 6: Final answer
    x = 98,910.95

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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.