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Finding the Fourth Proportional to 192,110.88, 287,932.86 and 135,967.32

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Solution

The fourth proportional to 192,110.88, 287,932.86 and 135,967.32 is: 203,785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,110.88 : 287,932.86 = 135,967.32 : x
  2. Step 2: Convert to fraction form
    192,110.88/287,932.86 = 135,967.32/x
  3. Step 3: Cross multiply
    192,110.88x = 287,932.86 × 135,967.32
  4. Step 4: Simplify right side
    192,110.88x = 39,149,459,314.14
  5. Step 5: Solve for x
    x = 39,149,459,314.14/192,110.88
  6. Step 6: Final answer
    x = 203,785.75

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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.