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Finding the Fourth Proportional to 196,901.56, 295,338.06 and 76,935.96

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Solution

The fourth proportional to 196,901.56, 295,338.06 and 76,935.96 is: 115,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,901.56 : 295,338.06 = 76,935.96 : x
  2. Step 2: Convert to fraction form
    196,901.56/295,338.06 = 76,935.96/x
  3. Step 3: Cross multiply
    196,901.56x = 295,338.06 × 76,935.96
  4. Step 4: Simplify right side
    196,901.56x = 22,722,117,170.64
  5. Step 5: Solve for x
    x = 22,722,117,170.64/196,901.56
  6. Step 6: Final answer
    x = 115,398.36

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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.