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Finding the Fourth Proportional to 122,155.83, 183,239.28 and 33,407.37

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Solution

The fourth proportional to 122,155.83, 183,239.28 and 33,407.37 is: 50,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,155.83 : 183,239.28 = 33,407.37 : x
  2. Step 2: Convert to fraction form
    122,155.83/183,239.28 = 33,407.37/x
  3. Step 3: Cross multiply
    122,155.83x = 183,239.28 × 33,407.37
  4. Step 4: Simplify right side
    122,155.83x = 6,121,542,425.49
  5. Step 5: Solve for x
    x = 6,121,542,425.49/122,155.83
  6. Step 6: Final answer
    x = 50,112.57

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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.