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Finding the Fourth Proportional to 402,193.06, 603,363.72 and 132,336.70

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Solution

The fourth proportional to 402,193.06, 603,363.72 and 132,336.70 is: 198,529.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,193.06 : 603,363.72 = 132,336.70 : x
  2. Step 2: Convert to fraction form
    402,193.06/603,363.72 = 132,336.70/x
  3. Step 3: Cross multiply
    402,193.06x = 603,363.72 × 132,336.70
  4. Step 4: Simplify right side
    402,193.06x = 79,847,163,604.52
  5. Step 5: Solve for x
    x = 79,847,163,604.52/402,193.06
  6. Step 6: Final answer
    x = 198,529.44

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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.