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Finding the Fourth Proportional to 199,858.66, 275,805.21 and 110,434.66

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Solution

The fourth proportional to 199,858.66, 275,805.21 and 110,434.66 is: 152,399.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,858.66 : 275,805.21 = 110,434.66 : x
  2. Step 2: Convert to fraction form
    199,858.66/275,805.21 = 110,434.66/x
  3. Step 3: Cross multiply
    199,858.66x = 275,805.21 × 110,434.66
  4. Step 4: Simplify right side
    199,858.66x = 30,458,454,592.58
  5. Step 5: Solve for x
    x = 30,458,454,592.58/199,858.66
  6. Step 6: Final answer
    x = 152,399.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.