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Finding the Fourth Proportional to 119,114.68, 164,377.72 and 65,398.36

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Solution

The fourth proportional to 119,114.68, 164,377.72 and 65,398.36 is: 90,249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,114.68 : 164,377.72 = 65,398.36 : x
  2. Step 2: Convert to fraction form
    119,114.68/164,377.72 = 65,398.36/x
  3. Step 3: Cross multiply
    119,114.68x = 164,377.72 × 65,398.36
  4. Step 4: Simplify right side
    119,114.68x = 10,750,033,308.54
  5. Step 5: Solve for x
    x = 10,750,033,308.54/119,114.68
  6. Step 6: Final answer
    x = 90,249.44

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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.