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Finding the Fourth Proportional to 169,274.92, 253,914.54 and 75,761.32

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Solution

The fourth proportional to 169,274.92, 253,914.54 and 75,761.32 is: 113,642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,274.92 : 253,914.54 = 75,761.32 : x
  2. Step 2: Convert to fraction form
    169,274.92/253,914.54 = 75,761.32/x
  3. Step 3: Cross multiply
    169,274.92x = 253,914.54 × 75,761.32
  4. Step 4: Simplify right side
    169,274.92x = 19,236,900,717.59
  5. Step 5: Solve for x
    x = 19,236,900,717.59/169,274.92
  6. Step 6: Final answer
    x = 113,642.95

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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.