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Finding the Fourth Proportional to 122,228.83, 183,343.40 and 33,483.11

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Solution

The fourth proportional to 122,228.83, 183,343.40 and 33,483.11 is: 50,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,228.83 : 183,343.40 = 33,483.11 : x
  2. Step 2: Convert to fraction form
    122,228.83/183,343.40 = 33,483.11/x
  3. Step 3: Cross multiply
    122,228.83x = 183,343.40 × 33,483.11
  4. Step 4: Simplify right side
    122,228.83x = 6,138,907,062.56
  5. Step 5: Solve for x
    x = 6,138,907,062.56/122,228.83
  6. Step 6: Final answer
    x = 50,224.71

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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.