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Finding the Fourth Proportional to 122,801.77, 184,137.57 and 75,438.54

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Solution

The fourth proportional to 122,801.77, 184,137.57 and 75,438.54 is: 113,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,801.77 : 184,137.57 = 75,438.54 : x
  2. Step 2: Convert to fraction form
    122,801.77/184,137.57 = 75,438.54/x
  3. Step 3: Cross multiply
    122,801.77x = 184,137.57 × 75,438.54
  4. Step 4: Simplify right side
    122,801.77x = 13,891,069,439.95
  5. Step 5: Solve for x
    x = 13,891,069,439.95/122,801.77
  6. Step 6: Final answer
    x = 113,117.83

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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.