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Finding the Fourth Proportional to 262,186.56, 361,819.98 and 149,010.12

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Solution

The fourth proportional to 262,186.56, 361,819.98 and 149,010.12 is: 205,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,186.56 : 361,819.98 = 149,010.12 : x
  2. Step 2: Convert to fraction form
    262,186.56/361,819.98 = 149,010.12/x
  3. Step 3: Cross multiply
    262,186.56x = 361,819.98 × 149,010.12
  4. Step 4: Simplify right side
    262,186.56x = 53,914,838,638.20
  5. Step 5: Solve for x
    x = 53,914,838,638.20/262,186.56
  6. Step 6: Final answer
    x = 205,635.40

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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.