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Finding the Fourth Proportional to 199,426, 275,227.32 and 110,002

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Solution

The fourth proportional to 199,426, 275,227.32 and 110,002 is: 151,813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,426 : 275,227.32 = 110,002 : x
  2. Step 2: Convert to fraction form
    199,426/275,227.32 = 110,002/x
  3. Step 3: Cross multiply
    199,426x = 275,227.32 × 110,002
  4. Step 4: Simplify right side
    199,426x = 30,275,555,654.64
  5. Step 5: Solve for x
    x = 30,275,555,654.64/199,426
  6. Step 6: Final answer
    x = 151,813.48

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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.