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Finding the Fourth Proportional to 200,134.56, 300,201.81 and 94,896.12

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Solution

The fourth proportional to 200,134.56, 300,201.81 and 94,896.12 is: 142,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,134.56 : 300,201.81 = 94,896.12 : x
  2. Step 2: Convert to fraction form
    200,134.56/300,201.81 = 94,896.12/x
  3. Step 3: Cross multiply
    200,134.56x = 300,201.81 × 94,896.12
  4. Step 4: Simplify right side
    200,134.56x = 28,487,986,985.98
  5. Step 5: Solve for x
    x = 28,487,986,985.98/200,134.56
  6. Step 6: Final answer
    x = 142,344.17

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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.