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Finding the Fourth Proportional to 192,724.86, 265,909.86 and 111,033.12

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Solution

The fourth proportional to 192,724.86, 265,909.86 and 111,033.12 is: 153,196.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,724.86 : 265,909.86 = 111,033.12 : x
  2. Step 2: Convert to fraction form
    192,724.86/265,909.86 = 111,033.12/x
  3. Step 3: Cross multiply
    192,724.86x = 265,909.86 × 111,033.12
  4. Step 4: Simplify right side
    192,724.86x = 29,524,801,394.56
  5. Step 5: Solve for x
    x = 29,524,801,394.56/192,724.86
  6. Step 6: Final answer
    x = 153,196.64

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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.