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Finding the Fourth Proportional to 176,764.70, 243,940.42 and 96,197.42

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Solution

The fourth proportional to 176,764.70, 243,940.42 and 96,197.42 is: 132,755.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,764.70 : 243,940.42 = 96,197.42 : x
  2. Step 2: Convert to fraction form
    176,764.70/243,940.42 = 96,197.42/x
  3. Step 3: Cross multiply
    176,764.70x = 243,940.42 × 96,197.42
  4. Step 4: Simplify right side
    176,764.70x = 23,466,439,037.72
  5. Step 5: Solve for x
    x = 23,466,439,037.72/176,764.70
  6. Step 6: Final answer
    x = 132,755.23

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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.