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Finding the Fourth Proportional to 101,734.84, 140,509.04 and 69,414

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Solution

The fourth proportional to 101,734.84, 140,509.04 and 69,414 is: 95,869.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,734.84 : 140,509.04 = 69,414 : x
  2. Step 2: Convert to fraction form
    101,734.84/140,509.04 = 69,414/x
  3. Step 3: Cross multiply
    101,734.84x = 140,509.04 × 69,414
  4. Step 4: Simplify right side
    101,734.84x = 9,753,294,502.56
  5. Step 5: Solve for x
    x = 9,753,294,502.56/101,734.84
  6. Step 6: Final answer
    x = 95,869.76

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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.