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Finding the Fourth Proportional to 99,464.83, 149,198.83 and 55,371.84

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Solution

The fourth proportional to 99,464.83, 149,198.83 and 55,371.84 is: 83,058.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,464.83 : 149,198.83 = 55,371.84 : x
  2. Step 2: Convert to fraction form
    99,464.83/149,198.83 = 55,371.84/x
  3. Step 3: Cross multiply
    99,464.83x = 149,198.83 × 55,371.84
  4. Step 4: Simplify right side
    99,464.83x = 8,261,413,884.27
  5. Step 5: Solve for x
    x = 8,261,413,884.27/99,464.83
  6. Step 6: Final answer
    x = 83,058.64

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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.