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Finding the Fourth Proportional to 122,189.32, 183,283.84 and 33,443.56

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Solution

The fourth proportional to 122,189.32, 183,283.84 and 33,443.56 is: 50,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,189.32 : 183,283.84 = 33,443.56 : x
  2. Step 2: Convert to fraction form
    122,189.32/183,283.84 = 33,443.56/x
  3. Step 3: Cross multiply
    122,189.32x = 183,283.84 × 33,443.56
  4. Step 4: Simplify right side
    122,189.32x = 6,129,664,100.07
  5. Step 5: Solve for x
    x = 6,129,664,100.07/122,189.32
  6. Step 6: Final answer
    x = 50,165.30

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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.