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Finding the Fourth Proportional to 291,325.50, 402,067.53 and 164,025.90

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Solution

The fourth proportional to 291,325.50, 402,067.53 and 164,025.90 is: 226,377.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,325.50 : 402,067.53 = 164,025.90 : x
  2. Step 2: Convert to fraction form
    291,325.50/402,067.53 = 164,025.90/x
  3. Step 3: Cross multiply
    291,325.50x = 402,067.53 × 164,025.90
  4. Step 4: Simplify right side
    291,325.50x = 65,949,488,469.03
  5. Step 5: Solve for x
    x = 65,949,488,469.03/291,325.50
  6. Step 6: Final answer
    x = 226,377.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.