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Finding the Fourth Proportional to 262,467.82, 362,217.36 and 147,785.89

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Solution

The fourth proportional to 262,467.82, 362,217.36 and 147,785.89 is: 203,951.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,467.82 : 362,217.36 = 147,785.89 : x
  2. Step 2: Convert to fraction form
    262,467.82/362,217.36 = 147,785.89/x
  3. Step 3: Cross multiply
    262,467.82x = 362,217.36 × 147,785.89
  4. Step 4: Simplify right side
    262,467.82x = 53,530,614,921.05
  5. Step 5: Solve for x
    x = 53,530,614,921.05/262,467.82
  6. Step 6: Final answer
    x = 203,951.15

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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.