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Finding the Fourth Proportional to 99,464.81, 149,198.76 and 55,371.82

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Solution

The fourth proportional to 99,464.81, 149,198.76 and 55,371.82 is: 83,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,464.81 : 149,198.76 = 55,371.82 : x
  2. Step 2: Convert to fraction form
    99,464.81/149,198.76 = 55,371.82/x
  3. Step 3: Cross multiply
    99,464.81x = 149,198.76 × 55,371.82
  4. Step 4: Simplify right side
    99,464.81x = 8,261,406,509.95
  5. Step 5: Solve for x
    x = 8,261,406,509.95/99,464.81
  6. Step 6: Final answer
    x = 83,058.58

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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.