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Finding the Fourth Proportional to 99,891.98, 149,836.94 and 57,745.24

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Solution

The fourth proportional to 99,891.98, 149,836.94 and 57,745.24 is: 86,617.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,891.98 : 149,836.94 = 57,745.24 : x
  2. Step 2: Convert to fraction form
    99,891.98/149,836.94 = 57,745.24/x
  3. Step 3: Cross multiply
    99,891.98x = 149,836.94 × 57,745.24
  4. Step 4: Simplify right side
    99,891.98x = 8,652,370,061.17
  5. Step 5: Solve for x
    x = 8,652,370,061.17/99,891.98
  6. Step 6: Final answer
    x = 86,617.26

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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.