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Finding the Fourth Proportional to 262,291.54, 361,954.07 and 147,576.71

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Solution

The fourth proportional to 262,291.54, 361,954.07 and 147,576.71 is: 203,651.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,291.54 : 361,954.07 = 147,576.71 : x
  2. Step 2: Convert to fraction form
    262,291.54/361,954.07 = 147,576.71/x
  3. Step 3: Cross multiply
    262,291.54x = 361,954.07 × 147,576.71
  4. Step 4: Simplify right side
    262,291.54x = 53,415,990,821.71
  5. Step 5: Solve for x
    x = 53,415,990,821.71/262,291.54
  6. Step 6: Final answer
    x = 203,651.22

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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.