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Finding the Fourth Proportional to 139,849.38, 192,991.14 and 76,187.16

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Solution

The fourth proportional to 139,849.38, 192,991.14 and 76,187.16 is: 105,137.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,849.38 : 192,991.14 = 76,187.16 : x
  2. Step 2: Convert to fraction form
    139,849.38/192,991.14 = 76,187.16/x
  3. Step 3: Cross multiply
    139,849.38x = 192,991.14 × 76,187.16
  4. Step 4: Simplify right side
    139,849.38x = 14,703,446,861.76
  5. Step 5: Solve for x
    x = 14,703,446,861.76/139,849.38
  6. Step 6: Final answer
    x = 105,137.73

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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.