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Finding the Fourth Proportional to 166,002.14, 228,809.80 and 117,620.30

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Solution

The fourth proportional to 166,002.14, 228,809.80 and 117,620.30 is: 162,122.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,002.14 : 228,809.80 = 117,620.30 : x
  2. Step 2: Convert to fraction form
    166,002.14/228,809.80 = 117,620.30/x
  3. Step 3: Cross multiply
    166,002.14x = 228,809.80 × 117,620.30
  4. Step 4: Simplify right side
    166,002.14x = 26,912,677,318.94
  5. Step 5: Solve for x
    x = 26,912,677,318.94/166,002.14
  6. Step 6: Final answer
    x = 162,122.47

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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.