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Finding the Fourth Proportional to 166,209.65, 229,377.90 and 101,658.63

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Solution

The fourth proportional to 166,209.65, 229,377.90 and 101,658.63 is: 140,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,209.65 : 229,377.90 = 101,658.63 : x
  2. Step 2: Convert to fraction form
    166,209.65/229,377.90 = 101,658.63/x
  3. Step 3: Cross multiply
    166,209.65x = 229,377.90 × 101,658.63
  4. Step 4: Simplify right side
    166,209.65x = 23,318,244,021.75
  5. Step 5: Solve for x
    x = 23,318,244,021.75/166,209.65
  6. Step 6: Final answer
    x = 140,294.17

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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.