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Finding the Fourth Proportional to 176,498.78, 264,745.86 and 43,380.20

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Solution

The fourth proportional to 176,498.78, 264,745.86 and 43,380.20 is: 65,069.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,498.78 : 264,745.86 = 43,380.20 : x
  2. Step 2: Convert to fraction form
    176,498.78/264,745.86 = 43,380.20/x
  3. Step 3: Cross multiply
    176,498.78x = 264,745.86 × 43,380.20
  4. Step 4: Simplify right side
    176,498.78x = 11,484,728,355.97
  5. Step 5: Solve for x
    x = 11,484,728,355.97/176,498.78
  6. Step 6: Final answer
    x = 65,069.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.