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Finding the Fourth Proportional to 122,201.83, 183,315.42 and 33,455.33

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Solution

The fourth proportional to 122,201.83, 183,315.42 and 33,455.33 is: 50,186.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,201.83 : 183,315.42 = 33,455.33 : x
  2. Step 2: Convert to fraction form
    122,201.83/183,315.42 = 33,455.33/x
  3. Step 3: Cross multiply
    122,201.83x = 183,315.42 × 33,455.33
  4. Step 4: Simplify right side
    122,201.83x = 6,132,877,641.04
  5. Step 5: Solve for x
    x = 6,132,877,641.04/122,201.83
  6. Step 6: Final answer
    x = 50,186.46

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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.