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Finding the Fourth Proportional to 199,413, 275,209.38 and 109,989

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Solution

The fourth proportional to 199,413, 275,209.38 and 109,989 is: 151,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,413 : 275,209.38 = 109,989 : x
  2. Step 2: Convert to fraction form
    199,413/275,209.38 = 109,989/x
  3. Step 3: Cross multiply
    199,413x = 275,209.38 × 109,989
  4. Step 4: Simplify right side
    199,413x = 30,270,004,496.82
  5. Step 5: Solve for x
    x = 30,270,004,496.82/199,413
  6. Step 6: Final answer
    x = 151,795.54

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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.