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Finding the Fourth Proportional to 402,591.06, 603,511.16 and 136,166.16

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Solution

The fourth proportional to 402,591.06, 603,511.16 and 136,166.16 is: 204,122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,591.06 : 603,511.16 = 136,166.16 : x
  2. Step 2: Convert to fraction form
    402,591.06/603,511.16 = 136,166.16/x
  3. Step 3: Cross multiply
    402,591.06x = 603,511.16 × 136,166.16
  4. Step 4: Simplify right side
    402,591.06x = 82,177,798,756.68
  5. Step 5: Solve for x
    x = 82,177,798,756.68/402,591.06
  6. Step 6: Final answer
    x = 204,122.26

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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.