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Finding the Fourth Proportional to 119,136.46, 164,400.16 and 65,424.96

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Solution

The fourth proportional to 119,136.46, 164,400.16 and 65,424.96 is: 90,281.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,136.46 : 164,400.16 = 65,424.96 : x
  2. Step 2: Convert to fraction form
    119,136.46/164,400.16 = 65,424.96/x
  3. Step 3: Cross multiply
    119,136.46x = 164,400.16 × 65,424.96
  4. Step 4: Simplify right side
    119,136.46x = 10,755,873,891.99
  5. Step 5: Solve for x
    x = 10,755,873,891.99/119,136.46
  6. Step 6: Final answer
    x = 90,281.97

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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.