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Finding the Fourth Proportional to 122,206.78, 183,309.96 and 33,467.20

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Solution

The fourth proportional to 122,206.78, 183,309.96 and 33,467.20 is: 50,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,206.78 : 183,309.96 = 33,467.20 : x
  2. Step 2: Convert to fraction form
    122,206.78/183,309.96 = 33,467.20/x
  3. Step 3: Cross multiply
    122,206.78x = 183,309.96 × 33,467.20
  4. Step 4: Simplify right side
    122,206.78x = 6,134,871,093.31
  5. Step 5: Solve for x
    x = 6,134,871,093.31/122,206.78
  6. Step 6: Final answer
    x = 50,200.74

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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.