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Finding the Fourth Proportional to 134,692.80, 202,048.80 and 41,198.40

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Solution

The fourth proportional to 134,692.80, 202,048.80 and 41,198.40 is: 61,800.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,692.80 : 202,048.80 = 41,198.40 : x
  2. Step 2: Convert to fraction form
    134,692.80/202,048.80 = 41,198.40/x
  3. Step 3: Cross multiply
    134,692.80x = 202,048.80 × 41,198.40
  4. Step 4: Simplify right side
    134,692.80x = 8,324,087,281.92
  5. Step 5: Solve for x
    x = 8,324,087,281.92/134,692.80
  6. Step 6: Final answer
    x = 61,800.54

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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.