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Finding the Fourth Proportional to 113,296.68, 169,945.20 and 34,411.44

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Solution

The fourth proportional to 113,296.68, 169,945.20 and 34,411.44 is: 51,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,296.68 : 169,945.20 = 34,411.44 : x
  2. Step 2: Convert to fraction form
    113,296.68/169,945.20 = 34,411.44/x
  3. Step 3: Cross multiply
    113,296.68x = 169,945.20 × 34,411.44
  4. Step 4: Simplify right side
    113,296.68x = 5,848,059,053.09
  5. Step 5: Solve for x
    x = 5,848,059,053.09/113,296.68
  6. Step 6: Final answer
    x = 51,617.21

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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.