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Finding the Fourth Proportional to 402,274.90, 603,234.15 and 135,963.10

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Solution

The fourth proportional to 402,274.90, 603,234.15 and 135,963.10 is: 203,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,274.90 : 603,234.15 = 135,963.10 : x
  2. Step 2: Convert to fraction form
    402,274.90/603,234.15 = 135,963.10/x
  3. Step 3: Cross multiply
    402,274.90x = 603,234.15 × 135,963.10
  4. Step 4: Simplify right side
    402,274.90x = 82,017,585,059.87
  5. Step 5: Solve for x
    x = 82,017,585,059.87/402,274.90
  6. Step 6: Final answer
    x = 203,884.42

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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.