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Finding the Fourth Proportional to 166,114.10, 248,996.16 and 82,833.14

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Solution

The fourth proportional to 166,114.10, 248,996.16 and 82,833.14 is: 124,162.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,114.10 : 248,996.16 = 82,833.14 : x
  2. Step 2: Convert to fraction form
    166,114.10/248,996.16 = 82,833.14/x
  3. Step 3: Cross multiply
    166,114.10x = 248,996.16 × 82,833.14
  4. Step 4: Simplify right side
    166,114.10x = 20,625,133,780.74
  5. Step 5: Solve for x
    x = 20,625,133,780.74/166,114.10
  6. Step 6: Final answer
    x = 124,162.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.