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Finding the Fourth Proportional to 84,175.84, 116,026.30 and 73,246

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Solution

The fourth proportional to 84,175.84, 116,026.30 and 73,246 is: 100,960.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,175.84 : 116,026.30 = 73,246 : x
  2. Step 2: Convert to fraction form
    84,175.84/116,026.30 = 73,246/x
  3. Step 3: Cross multiply
    84,175.84x = 116,026.30 × 73,246
  4. Step 4: Simplify right side
    84,175.84x = 8,498,462,369.80
  5. Step 5: Solve for x
    x = 8,498,462,369.80/84,175.84
  6. Step 6: Final answer
    x = 100,960.83

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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.