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Finding the Fourth Proportional to 119,649.38, 165,175.92 and 92,731.46

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Solution

The fourth proportional to 119,649.38, 165,175.92 and 92,731.46 is: 128,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,649.38 : 165,175.92 = 92,731.46 : x
  2. Step 2: Convert to fraction form
    119,649.38/165,175.92 = 92,731.46/x
  3. Step 3: Cross multiply
    119,649.38x = 165,175.92 × 92,731.46
  4. Step 4: Simplify right side
    119,649.38x = 15,317,004,218.44
  5. Step 5: Solve for x
    x = 15,317,004,218.44/119,649.38
  6. Step 6: Final answer
    x = 128,015.74

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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.