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Finding the Fourth Proportional to 262,206.15, 361,842.42 and 149,028.90

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Solution

The fourth proportional to 262,206.15, 361,842.42 and 149,028.90 is: 205,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,206.15 : 361,842.42 = 149,028.90 : x
  2. Step 2: Convert to fraction form
    262,206.15/361,842.42 = 149,028.90/x
  3. Step 3: Cross multiply
    262,206.15x = 361,842.42 × 149,028.90
  4. Step 4: Simplify right side
    262,206.15x = 53,924,977,027.89
  5. Step 5: Solve for x
    x = 53,924,977,027.89/262,206.15
  6. Step 6: Final answer
    x = 205,658.71

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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.