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Finding the Fourth Proportional to 119,676.52, 165,151.44 and 65,229.23

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Solution

The fourth proportional to 119,676.52, 165,151.44 and 65,229.23 is: 90,015.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,676.52 : 165,151.44 = 65,229.23 : x
  2. Step 2: Convert to fraction form
    119,676.52/165,151.44 = 65,229.23/x
  3. Step 3: Cross multiply
    119,676.52x = 165,151.44 × 65,229.23
  4. Step 4: Simplify right side
    119,676.52x = 10,772,701,677.47
  5. Step 5: Solve for x
    x = 10,772,701,677.47/119,676.52
  6. Step 6: Final answer
    x = 90,015.16

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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.