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Finding the Fourth Proportional to 120,571.36, 180,871.56 and 58,198

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Solution

The fourth proportional to 120,571.36, 180,871.56 and 58,198 is: 87,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,571.36 : 180,871.56 = 58,198 : x
  2. Step 2: Convert to fraction form
    120,571.36/180,871.56 = 58,198/x
  3. Step 3: Cross multiply
    120,571.36x = 180,871.56 × 58,198
  4. Step 4: Simplify right side
    120,571.36x = 10,526,363,048.88
  5. Step 5: Solve for x
    x = 10,526,363,048.88/120,571.36
  6. Step 6: Final answer
    x = 87,304.01

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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.