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Finding the Fourth Proportional to 262,291.96, 361,993.62 and 149,131.72

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Solution

The fourth proportional to 262,291.96, 361,993.62 and 149,131.72 is: 205,819.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,291.96 : 361,993.62 = 149,131.72 : x
  2. Step 2: Convert to fraction form
    262,291.96/361,993.62 = 149,131.72/x
  3. Step 3: Cross multiply
    262,291.96x = 361,993.62 × 149,131.72
  4. Step 4: Simplify right side
    262,291.96x = 53,984,731,179.63
  5. Step 5: Solve for x
    x = 53,984,731,179.63/262,291.96
  6. Step 6: Final answer
    x = 205,819.24

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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.