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Finding the Fourth Proportional to 122,278.14, 183,412.89 and 33,530.22

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Solution

The fourth proportional to 122,278.14, 183,412.89 and 33,530.22 is: 50,294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,278.14 : 183,412.89 = 33,530.22 : x
  2. Step 2: Convert to fraction form
    122,278.14/183,412.89 = 33,530.22/x
  3. Step 3: Cross multiply
    122,278.14x = 183,412.89 × 33,530.22
  4. Step 4: Simplify right side
    122,278.14x = 6,149,874,552.54
  5. Step 5: Solve for x
    x = 6,149,874,552.54/122,278.14
  6. Step 6: Final answer
    x = 50,294.15

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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.