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Finding the Fourth Proportional to 122,187.78, 183,281.87 and 33,434.66

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Solution

The fourth proportional to 122,187.78, 183,281.87 and 33,434.66 is: 50,152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,187.78 : 183,281.87 = 33,434.66 : x
  2. Step 2: Convert to fraction form
    122,187.78/183,281.87 = 33,434.66/x
  3. Step 3: Cross multiply
    122,187.78x = 183,281.87 × 33,434.66
  4. Step 4: Simplify right side
    122,187.78x = 6,127,965,924.03
  5. Step 5: Solve for x
    x = 6,127,965,924.03/122,187.78
  6. Step 6: Final answer
    x = 50,152.04

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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.