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Finding the Fourth Proportional to 168,055.78, 251,821.02 and 105,595.06

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Solution

The fourth proportional to 168,055.78, 251,821.02 and 105,595.06 is: 158,227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,055.78 : 251,821.02 = 105,595.06 : x
  2. Step 2: Convert to fraction form
    168,055.78/251,821.02 = 105,595.06/x
  3. Step 3: Cross multiply
    168,055.78x = 251,821.02 × 105,595.06
  4. Step 4: Simplify right side
    168,055.78x = 26,591,055,716.16
  5. Step 5: Solve for x
    x = 26,591,055,716.16/168,055.78
  6. Step 6: Final answer
    x = 158,227.56

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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.