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Finding the Fourth Proportional to 192,774.83, 288,961.77 and 74,527.39

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Solution

The fourth proportional to 192,774.83, 288,961.77 and 74,527.39 is: 111,713.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,774.83 : 288,961.77 = 74,527.39 : x
  2. Step 2: Convert to fraction form
    192,774.83/288,961.77 = 74,527.39/x
  3. Step 3: Cross multiply
    192,774.83x = 288,961.77 × 74,527.39
  4. Step 4: Simplify right side
    192,774.83x = 21,535,565,083.07
  5. Step 5: Solve for x
    x = 21,535,565,083.07/192,774.83
  6. Step 6: Final answer
    x = 111,713.57

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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.