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Finding the Fourth Proportional to 264,997.24, 365,142.54 and 179,966.68

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Solution

The fourth proportional to 264,997.24, 365,142.54 and 179,966.68 is: 247,978.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,997.24 : 365,142.54 = 179,966.68 : x
  2. Step 2: Convert to fraction form
    264,997.24/365,142.54 = 179,966.68/x
  3. Step 3: Cross multiply
    264,997.24x = 365,142.54 × 179,966.68
  4. Step 4: Simplify right side
    264,997.24x = 65,713,490,650.57
  5. Step 5: Solve for x
    x = 65,713,490,650.57/264,997.24
  6. Step 6: Final answer
    x = 247,978.02

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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.