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Finding the Fourth Proportional to 100,371.35, 138,511.82 and 57,364

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Solution

The fourth proportional to 100,371.35, 138,511.82 and 57,364 is: 79,161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,371.35 : 138,511.82 = 57,364 : x
  2. Step 2: Convert to fraction form
    100,371.35/138,511.82 = 57,364/x
  3. Step 3: Cross multiply
    100,371.35x = 138,511.82 × 57,364
  4. Step 4: Simplify right side
    100,371.35x = 7,945,592,042.48
  5. Step 5: Solve for x
    x = 7,945,592,042.48/100,371.35
  6. Step 6: Final answer
    x = 79,161.95

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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.