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Finding the Fourth Proportional to 301,091.31, 451,631.70 and 73,388.97

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Solution

The fourth proportional to 301,091.31, 451,631.70 and 73,388.97 is: 110,082.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,091.31 : 451,631.70 = 73,388.97 : x
  2. Step 2: Convert to fraction form
    301,091.31/451,631.70 = 73,388.97/x
  3. Step 3: Cross multiply
    301,091.31x = 451,631.70 × 73,388.97
  4. Step 4: Simplify right side
    301,091.31x = 33,144,785,282.35
  5. Step 5: Solve for x
    x = 33,144,785,282.35/301,091.31
  6. Step 6: Final answer
    x = 110,082.17

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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.