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Finding the Fourth Proportional to 183,198.96, 274,904.64 and 98,961.12

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Solution

The fourth proportional to 183,198.96, 274,904.64 and 98,961.12 is: 148,499.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,198.96 : 274,904.64 = 98,961.12 : x
  2. Step 2: Convert to fraction form
    183,198.96/274,904.64 = 98,961.12/x
  3. Step 3: Cross multiply
    183,198.96x = 274,904.64 × 98,961.12
  4. Step 4: Simplify right side
    183,198.96x = 27,204,871,067.60
  5. Step 5: Solve for x
    x = 27,204,871,067.60/183,198.96
  6. Step 6: Final answer
    x = 148,499.05

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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.