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Finding the Fourth Proportional to 122,182.49, 183,267.07 and 33,429.59

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Solution

The fourth proportional to 122,182.49, 183,267.07 and 33,429.59 is: 50,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,182.49 : 183,267.07 = 33,429.59 : x
  2. Step 2: Convert to fraction form
    122,182.49/183,267.07 = 33,429.59/x
  3. Step 3: Cross multiply
    122,182.49x = 183,267.07 × 33,429.59
  4. Step 4: Simplify right side
    122,182.49x = 6,126,543,010.60
  5. Step 5: Solve for x
    x = 6,126,543,010.60/122,182.49
  6. Step 6: Final answer
    x = 50,142.56

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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.