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Finding the Fourth Proportional to 108,473.48, 162,825.24 and 96,074

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Solution

The fourth proportional to 108,473.48, 162,825.24 and 96,074 is: 144,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,473.48 : 162,825.24 = 96,074 : x
  2. Step 2: Convert to fraction form
    108,473.48/162,825.24 = 96,074/x
  3. Step 3: Cross multiply
    108,473.48x = 162,825.24 × 96,074
  4. Step 4: Simplify right side
    108,473.48x = 15,643,272,107.76
  5. Step 5: Solve for x
    x = 15,643,272,107.76/108,473.48
  6. Step 6: Final answer
    x = 144,212.87

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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.