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Finding the Fourth Proportional to 154,745.82, 232,040.97 and 71,698.14

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Solution

The fourth proportional to 154,745.82, 232,040.97 and 71,698.14 is: 107,511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,745.82 : 232,040.97 = 71,698.14 : x
  2. Step 2: Convert to fraction form
    154,745.82/232,040.97 = 71,698.14/x
  3. Step 3: Cross multiply
    154,745.82x = 232,040.97 × 71,698.14
  4. Step 4: Simplify right side
    154,745.82x = 16,636,905,952.80
  5. Step 5: Solve for x
    x = 16,636,905,952.80/154,745.82
  6. Step 6: Final answer
    x = 107,511.18

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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.