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Finding the Fourth Proportional to 201,796.56, 302,553.90 and 89,415.75

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Solution

The fourth proportional to 201,796.56, 302,553.90 and 89,415.75 is: 134,061.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,796.56 : 302,553.90 = 89,415.75 : x
  2. Step 2: Convert to fraction form
    201,796.56/302,553.90 = 89,415.75/x
  3. Step 3: Cross multiply
    201,796.56x = 302,553.90 × 89,415.75
  4. Step 4: Simplify right side
    201,796.56x = 27,053,083,883.93
  5. Step 5: Solve for x
    x = 27,053,083,883.93/201,796.56
  6. Step 6: Final answer
    x = 134,061.17

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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.