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Finding the Fourth Proportional to 117,384, 176,101.92 and 43,512

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Solution

The fourth proportional to 117,384, 176,101.92 and 43,512 is: 65,277.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,384 : 176,101.92 = 43,512 : x
  2. Step 2: Convert to fraction form
    117,384/176,101.92 = 43,512/x
  3. Step 3: Cross multiply
    117,384x = 176,101.92 × 43,512
  4. Step 4: Simplify right side
    117,384x = 7,662,546,743.04
  5. Step 5: Solve for x
    x = 7,662,546,743.04/117,384
  6. Step 6: Final answer
    x = 65,277.61

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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.