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Finding the Fourth Proportional to 262,172.96, 361,829.46 and 149,012.72

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Solution

The fourth proportional to 262,172.96, 361,829.46 and 149,012.72 is: 205,655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,172.96 : 361,829.46 = 149,012.72 : x
  2. Step 2: Convert to fraction form
    262,172.96/361,829.46 = 149,012.72/x
  3. Step 3: Cross multiply
    262,172.96x = 361,829.46 × 149,012.72
  4. Step 4: Simplify right side
    262,172.96x = 53,917,192,010.73
  5. Step 5: Solve for x
    x = 53,917,192,010.73/262,172.96
  6. Step 6: Final answer
    x = 205,655.05

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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.