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Finding the Fourth Proportional to 150,196.82, 207,257.54 and 89,755.43

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Solution

The fourth proportional to 150,196.82, 207,257.54 and 89,755.43 is: 123,854.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,196.82 : 207,257.54 = 89,755.43 : x
  2. Step 2: Convert to fraction form
    150,196.82/207,257.54 = 89,755.43/x
  3. Step 3: Cross multiply
    150,196.82x = 207,257.54 × 89,755.43
  4. Step 4: Simplify right side
    150,196.82x = 18,602,488,138.38
  5. Step 5: Solve for x
    x = 18,602,488,138.38/150,196.82
  6. Step 6: Final answer
    x = 123,854.08

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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.