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Finding the Fourth Proportional to 166,793.36, 230,165.71 and 97,873.54

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Solution

The fourth proportional to 166,793.36, 230,165.71 and 97,873.54 is: 135,060.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,793.36 : 230,165.71 = 97,873.54 : x
  2. Step 2: Convert to fraction form
    166,793.36/230,165.71 = 97,873.54/x
  3. Step 3: Cross multiply
    166,793.36x = 230,165.71 × 97,873.54
  4. Step 4: Simplify right side
    166,793.36x = 22,527,133,339.73
  5. Step 5: Solve for x
    x = 22,527,133,339.73/166,793.36
  6. Step 6: Final answer
    x = 135,060.14

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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.