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Finding the Fourth Proportional to 168,592.89, 232,658.01 and 96,971.07

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Solution

The fourth proportional to 168,592.89, 232,658.01 and 96,971.07 is: 133,819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,592.89 : 232,658.01 = 96,971.07 : x
  2. Step 2: Convert to fraction form
    168,592.89/232,658.01 = 96,971.07/x
  3. Step 3: Cross multiply
    168,592.89x = 232,658.01 × 96,971.07
  4. Step 4: Simplify right side
    168,592.89x = 22,561,096,173.77
  5. Step 5: Solve for x
    x = 22,561,096,173.77/168,592.89
  6. Step 6: Final answer
    x = 133,819.97

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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.