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Finding the Fourth Proportional to 143,369.92, 197,793.66 and 82,929.34

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Solution

The fourth proportional to 143,369.92, 197,793.66 and 82,929.34 is: 114,409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,369.92 : 197,793.66 = 82,929.34 : x
  2. Step 2: Convert to fraction form
    143,369.92/197,793.66 = 82,929.34/x
  3. Step 3: Cross multiply
    143,369.92x = 197,793.66 × 82,929.34
  4. Step 4: Simplify right side
    143,369.92x = 16,402,897,679.98
  5. Step 5: Solve for x
    x = 16,402,897,679.98/143,369.92
  6. Step 6: Final answer
    x = 114,409.62

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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.