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Finding the Fourth Proportional to 143,782, 198,416.49 and 78,371.38

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Solution

The fourth proportional to 143,782, 198,416.49 and 78,371.38 is: 108,151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,782 : 198,416.49 = 78,371.38 : x
  2. Step 2: Convert to fraction form
    143,782/198,416.49 = 78,371.38/x
  3. Step 3: Cross multiply
    143,782x = 198,416.49 × 78,371.38
  4. Step 4: Simplify right side
    143,782x = 15,550,174,136.06
  5. Step 5: Solve for x
    x = 15,550,174,136.06/143,782
  6. Step 6: Final answer
    x = 108,151.05

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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.