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Finding the Fourth Proportional to 241,326, 361,974.24 and 108,170.52

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Solution

The fourth proportional to 241,326, 361,974.24 and 108,170.52 is: 162,249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,326 : 361,974.24 = 108,170.52 : x
  2. Step 2: Convert to fraction form
    241,326/361,974.24 = 108,170.52/x
  3. Step 3: Cross multiply
    241,326x = 361,974.24 × 108,170.52
  4. Step 4: Simplify right side
    241,326x = 39,154,941,767.40
  5. Step 5: Solve for x
    x = 39,154,941,767.40/241,326
  6. Step 6: Final answer
    x = 162,249.16

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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.