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Finding the Fourth Proportional to 169,546.64, 234,016.80 and 97,968.20

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Solution

The fourth proportional to 169,546.64, 234,016.80 and 97,968.20 is: 135,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,546.64 : 234,016.80 = 97,968.20 : x
  2. Step 2: Convert to fraction form
    169,546.64/234,016.80 = 97,968.20/x
  3. Step 3: Cross multiply
    169,546.64x = 234,016.80 × 97,968.20
  4. Step 4: Simplify right side
    169,546.64x = 22,926,204,665.76
  5. Step 5: Solve for x
    x = 22,926,204,665.76/169,546.64
  6. Step 6: Final answer
    x = 135,220.64

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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.