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Finding the Fourth Proportional to 101,530, 140,091.96 and 65,715.04

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Solution

The fourth proportional to 101,530, 140,091.96 and 65,715.04 is: 90,674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,530 : 140,091.96 = 65,715.04 : x
  2. Step 2: Convert to fraction form
    101,530/140,091.96 = 65,715.04/x
  3. Step 3: Cross multiply
    101,530x = 140,091.96 × 65,715.04
  4. Step 4: Simplify right side
    101,530x = 9,206,148,755.08
  5. Step 5: Solve for x
    x = 9,206,148,755.08/101,530
  6. Step 6: Final answer
    x = 90,674.17

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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.