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Finding the Fourth Proportional to 166,894.43, 230,180.27 and 146,708.42

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Solution

The fourth proportional to 166,894.43, 230,180.27 and 146,708.42 is: 202,339.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,894.43 : 230,180.27 = 146,708.42 : x
  2. Step 2: Convert to fraction form
    166,894.43/230,180.27 = 146,708.42/x
  3. Step 3: Cross multiply
    166,894.43x = 230,180.27 × 146,708.42
  4. Step 4: Simplify right side
    166,894.43x = 33,769,381,842.43
  5. Step 5: Solve for x
    x = 33,769,381,842.43/166,894.43
  6. Step 6: Final answer
    x = 202,339.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.