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Finding the Fourth Proportional to 116,000.38, 160,091.76 and 65,021.78

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Solution

The fourth proportional to 116,000.38, 160,091.76 and 65,021.78 is: 89,736.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,000.38 : 160,091.76 = 65,021.78 : x
  2. Step 2: Convert to fraction form
    116,000.38/160,091.76 = 65,021.78/x
  3. Step 3: Cross multiply
    116,000.38x = 160,091.76 × 65,021.78
  4. Step 4: Simplify right side
    116,000.38x = 10,409,451,198.53
  5. Step 5: Solve for x
    x = 10,409,451,198.53/116,000.38
  6. Step 6: Final answer
    x = 89,736.35

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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.