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Finding the Fourth Proportional to 136,106.84, 187,782.48 and 82,371.44

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Solution

The fourth proportional to 136,106.84, 187,782.48 and 82,371.44 is: 113,645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,106.84 : 187,782.48 = 82,371.44 : x
  2. Step 2: Convert to fraction form
    136,106.84/187,782.48 = 82,371.44/x
  3. Step 3: Cross multiply
    136,106.84x = 187,782.48 × 82,371.44
  4. Step 4: Simplify right side
    136,106.84x = 15,467,913,284.37
  5. Step 5: Solve for x
    x = 15,467,913,284.37/136,106.84
  6. Step 6: Final answer
    x = 113,645.38

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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.