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Finding the Fourth Proportional to 171,161.10, 256,778.10 and 52,844.40

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Solution

The fourth proportional to 171,161.10, 256,778.10 and 52,844.40 is: 79,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,161.10 : 256,778.10 = 52,844.40 : x
  2. Step 2: Convert to fraction form
    171,161.10/256,778.10 = 52,844.40/x
  3. Step 3: Cross multiply
    171,161.10x = 256,778.10 × 52,844.40
  4. Step 4: Simplify right side
    171,161.10x = 13,569,284,627.64
  5. Step 5: Solve for x
    x = 13,569,284,627.64/171,161.10
  6. Step 6: Final answer
    x = 79,277.85

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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.