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Finding the Fourth Proportional to 262,295.81, 361,968.21 and 149,118.56

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Solution

The fourth proportional to 262,295.81, 361,968.21 and 149,118.56 is: 205,783.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,295.81 : 361,968.21 = 149,118.56 : x
  2. Step 2: Convert to fraction form
    262,295.81/361,968.21 = 149,118.56/x
  3. Step 3: Cross multiply
    262,295.81x = 361,968.21 × 149,118.56
  4. Step 4: Simplify right side
    262,295.81x = 53,976,176,431.14
  5. Step 5: Solve for x
    x = 53,976,176,431.14/262,295.81
  6. Step 6: Final answer
    x = 205,783.61

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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.