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Finding the Fourth Proportional to 108,194.52, 162,291.24 and 29,308.68

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Solution

The fourth proportional to 108,194.52, 162,291.24 and 29,308.68 is: 43,962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,194.52 : 162,291.24 = 29,308.68 : x
  2. Step 2: Convert to fraction form
    108,194.52/162,291.24 = 29,308.68/x
  3. Step 3: Cross multiply
    108,194.52x = 162,291.24 × 29,308.68
  4. Step 4: Simplify right side
    108,194.52x = 4,756,542,019.96
  5. Step 5: Solve for x
    x = 4,756,542,019.96/108,194.52
  6. Step 6: Final answer
    x = 43,962.87

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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.