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Finding the Fourth Proportional to 169,568.39, 234,022.97 and 96,978.02

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Solution

The fourth proportional to 169,568.39, 234,022.97 and 96,978.02 is: 133,840.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,568.39 : 234,022.97 = 96,978.02 : x
  2. Step 2: Convert to fraction form
    169,568.39/234,022.97 = 96,978.02/x
  3. Step 3: Cross multiply
    169,568.39x = 234,022.97 × 96,978.02
  4. Step 4: Simplify right side
    169,568.39x = 22,695,083,337.45
  5. Step 5: Solve for x
    x = 22,695,083,337.45/169,568.39
  6. Step 6: Final answer
    x = 133,840.29

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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.