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Finding the Fourth Proportional to 261,546.16, 361,078.68 and 179,993.20

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Solution

The fourth proportional to 261,546.16, 361,078.68 and 179,993.20 is: 248,490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,546.16 : 361,078.68 = 179,993.20 : x
  2. Step 2: Convert to fraction form
    261,546.16/361,078.68 = 179,993.20/x
  3. Step 3: Cross multiply
    261,546.16x = 361,078.68 × 179,993.20
  4. Step 4: Simplify right side
    261,546.16x = 64,991,707,064.98
  5. Step 5: Solve for x
    x = 64,991,707,064.98/261,546.16
  6. Step 6: Final answer
    x = 248,490.39

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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.