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Finding the Fourth Proportional to 166,830.80, 230,249.41 and 102,288.62

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Solution

The fourth proportional to 166,830.80, 230,249.41 and 102,288.62 is: 141,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,830.80 : 230,249.41 = 102,288.62 : x
  2. Step 2: Convert to fraction form
    166,830.80/230,249.41 = 102,288.62/x
  3. Step 3: Cross multiply
    166,830.80x = 230,249.41 × 102,288.62
  4. Step 4: Simplify right side
    166,830.80x = 23,551,894,148.99
  5. Step 5: Solve for x
    x = 23,551,894,148.99/166,830.80
  6. Step 6: Final answer
    x = 141,172.34

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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.