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Finding the Fourth Proportional to 117,400.98, 176,098.32 and 33,166.95

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Solution

The fourth proportional to 117,400.98, 176,098.32 and 33,166.95 is: 49,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,400.98 : 176,098.32 = 33,166.95 : x
  2. Step 2: Convert to fraction form
    117,400.98/176,098.32 = 33,166.95/x
  3. Step 3: Cross multiply
    117,400.98x = 176,098.32 × 33,166.95
  4. Step 4: Simplify right side
    117,400.98x = 5,840,644,174.52
  5. Step 5: Solve for x
    x = 5,840,644,174.52/117,400.98
  6. Step 6: Final answer
    x = 49,749.54

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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.