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Finding the Fourth Proportional to 166,207.73, 229,384.73 and 102,543.89

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Solution

The fourth proportional to 166,207.73, 229,384.73 and 102,543.89 is: 141,521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,207.73 : 229,384.73 = 102,543.89 : x
  2. Step 2: Convert to fraction form
    166,207.73/229,384.73 = 102,543.89/x
  3. Step 3: Cross multiply
    166,207.73x = 229,384.73 × 102,543.89
  4. Step 4: Simplify right side
    166,207.73x = 23,522,002,520.80
  5. Step 5: Solve for x
    x = 23,522,002,520.80/166,207.73
  6. Step 6: Final answer
    x = 141,521.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.