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Finding the Fourth Proportional to 119,472.84, 164,846.07 and 69,142.68

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Solution

The fourth proportional to 119,472.84, 164,846.07 and 69,142.68 is: 95,401.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,472.84 : 164,846.07 = 69,142.68 : x
  2. Step 2: Convert to fraction form
    119,472.84/164,846.07 = 69,142.68/x
  3. Step 3: Cross multiply
    119,472.84x = 164,846.07 × 69,142.68
  4. Step 4: Simplify right side
    119,472.84x = 11,397,899,067.27
  5. Step 5: Solve for x
    x = 11,397,899,067.27/119,472.84
  6. Step 6: Final answer
    x = 95,401.59

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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.