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Finding the Fourth Proportional to 294,104.26, 441,024.36 and 83,692.18

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Solution

The fourth proportional to 294,104.26, 441,024.36 and 83,692.18 is: 125,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,104.26 : 441,024.36 = 83,692.18 : x
  2. Step 2: Convert to fraction form
    294,104.26/441,024.36 = 83,692.18/x
  3. Step 3: Cross multiply
    294,104.26x = 441,024.36 × 83,692.18
  4. Step 4: Simplify right side
    294,104.26x = 36,910,290,121.50
  5. Step 5: Solve for x
    x = 36,910,290,121.50/294,104.26
  6. Step 6: Final answer
    x = 125,500.70

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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.