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Finding the Fourth Proportional to 362,138.10, 543,204.45 and 109,418.10

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Solution

The fourth proportional to 362,138.10, 543,204.45 and 109,418.10 is: 164,126.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,138.10 : 543,204.45 = 109,418.10 : x
  2. Step 2: Convert to fraction form
    362,138.10/543,204.45 = 109,418.10/x
  3. Step 3: Cross multiply
    362,138.10x = 543,204.45 × 109,418.10
  4. Step 4: Simplify right side
    362,138.10x = 59,436,398,830.55
  5. Step 5: Solve for x
    x = 59,436,398,830.55/362,138.10
  6. Step 6: Final answer
    x = 164,126.33

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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.