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Finding the Fourth Proportional to 166,463.22, 229,733.31 and 101,932.14

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Solution

The fourth proportional to 166,463.22, 229,733.31 and 101,932.14 is: 140,674.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,463.22 : 229,733.31 = 101,932.14 : x
  2. Step 2: Convert to fraction form
    166,463.22/229,733.31 = 101,932.14/x
  3. Step 3: Cross multiply
    166,463.22x = 229,733.31 × 101,932.14
  4. Step 4: Simplify right side
    166,463.22x = 23,417,207,869.08
  5. Step 5: Solve for x
    x = 23,417,207,869.08/166,463.22
  6. Step 6: Final answer
    x = 140,674.97

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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.