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Finding the Fourth Proportional to 117,511.68, 176,117.76 and 55,044.48

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Solution

The fourth proportional to 117,511.68, 176,117.76 and 55,044.48 is: 82,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,511.68 : 176,117.76 = 55,044.48 : x
  2. Step 2: Convert to fraction form
    117,511.68/176,117.76 = 55,044.48/x
  3. Step 3: Cross multiply
    117,511.68x = 176,117.76 × 55,044.48
  4. Step 4: Simplify right side
    117,511.68x = 9,694,310,517.96
  5. Step 5: Solve for x
    x = 9,694,310,517.96/117,511.68
  6. Step 6: Final answer
    x = 82,496.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.