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Finding the Fourth Proportional to 133,906.88, 200,854.24 and 59,007

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Solution

The fourth proportional to 133,906.88, 200,854.24 and 59,007 is: 88,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,906.88 : 200,854.24 = 59,007 : x
  2. Step 2: Convert to fraction form
    133,906.88/200,854.24 = 59,007/x
  3. Step 3: Cross multiply
    133,906.88x = 200,854.24 × 59,007
  4. Step 4: Simplify right side
    133,906.88x = 11,851,806,139.68
  5. Step 5: Solve for x
    x = 11,851,806,139.68/133,906.88
  6. Step 6: Final answer
    x = 88,507.82

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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.