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Finding the Fourth Proportional to 176,764.65, 243,940.34 and 96,197.37

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Solution

The fourth proportional to 176,764.65, 243,940.34 and 96,197.37 is: 132,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,764.65 : 243,940.34 = 96,197.37 : x
  2. Step 2: Convert to fraction form
    176,764.65/243,940.34 = 96,197.37/x
  3. Step 3: Cross multiply
    176,764.65x = 243,940.34 × 96,197.37
  4. Step 4: Simplify right side
    176,764.65x = 23,466,419,144.91
  5. Step 5: Solve for x
    x = 23,466,419,144.91/176,764.65
  6. Step 6: Final answer
    x = 132,755.16

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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.