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Finding the Fourth Proportional to 322,168.52, 483,129.72 and 105,977

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Solution

The fourth proportional to 322,168.52, 483,129.72 and 105,977 is: 158,925.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,168.52 : 483,129.72 = 105,977 : x
  2. Step 2: Convert to fraction form
    322,168.52/483,129.72 = 105,977/x
  3. Step 3: Cross multiply
    322,168.52x = 483,129.72 × 105,977
  4. Step 4: Simplify right side
    322,168.52x = 51,200,638,336.44
  5. Step 5: Solve for x
    x = 51,200,638,336.44/322,168.52
  6. Step 6: Final answer
    x = 158,925.02

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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.