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Finding the Fourth Proportional to 106,692.26, 160,138.80 and 54,139.46

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Solution

The fourth proportional to 106,692.26, 160,138.80 and 54,139.46 is: 81,260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,692.26 : 160,138.80 = 54,139.46 : x
  2. Step 2: Convert to fraction form
    106,692.26/160,138.80 = 54,139.46/x
  3. Step 3: Cross multiply
    106,692.26x = 160,138.80 × 54,139.46
  4. Step 4: Simplify right side
    106,692.26x = 8,669,828,157.05
  5. Step 5: Solve for x
    x = 8,669,828,157.05/106,692.26
  6. Step 6: Final answer
    x = 81,260.14

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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.