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Finding the Fourth Proportional to 122,314.14, 183,469.59 and 33,567.57

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Solution

The fourth proportional to 122,314.14, 183,469.59 and 33,567.57 is: 50,350.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,314.14 : 183,469.59 = 33,567.57 : x
  2. Step 2: Convert to fraction form
    122,314.14/183,469.59 = 33,567.57/x
  3. Step 3: Cross multiply
    122,314.14x = 183,469.59 × 33,567.57
  4. Step 4: Simplify right side
    122,314.14x = 6,158,628,305.20
  5. Step 5: Solve for x
    x = 6,158,628,305.20/122,314.14
  6. Step 6: Final answer
    x = 50,350.91

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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.