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Finding the Fourth Proportional to 252,151.56, 378,283.41 and 110,019.87

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Solution

The fourth proportional to 252,151.56, 378,283.41 and 110,019.87 is: 165,054.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,151.56 : 378,283.41 = 110,019.87 : x
  2. Step 2: Convert to fraction form
    252,151.56/378,283.41 = 110,019.87/x
  3. Step 3: Cross multiply
    252,151.56x = 378,283.41 × 110,019.87
  4. Step 4: Simplify right side
    252,151.56x = 41,618,691,591.36
  5. Step 5: Solve for x
    x = 41,618,691,591.36/252,151.56
  6. Step 6: Final answer
    x = 165,054.27

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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.