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Finding the Fourth Proportional to 169,198.40, 233,487.60 and 97,581.44

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Solution

The fourth proportional to 169,198.40, 233,487.60 and 97,581.44 is: 134,658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,198.40 : 233,487.60 = 97,581.44 : x
  2. Step 2: Convert to fraction form
    169,198.40/233,487.60 = 97,581.44/x
  3. Step 3: Cross multiply
    169,198.40x = 233,487.60 × 97,581.44
  4. Step 4: Simplify right side
    169,198.40x = 22,784,056,230.14
  5. Step 5: Solve for x
    x = 22,784,056,230.14/169,198.40
  6. Step 6: Final answer
    x = 134,658.82

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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.