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Finding the Fourth Proportional to 192,894.08, 266,191.80 and 108,011.48

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Solution

The fourth proportional to 192,894.08, 266,191.80 and 108,011.48 is: 149,054.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,894.08 : 266,191.80 = 108,011.48 : x
  2. Step 2: Convert to fraction form
    192,894.08/266,191.80 = 108,011.48/x
  3. Step 3: Cross multiply
    192,894.08x = 266,191.80 × 108,011.48
  4. Step 4: Simplify right side
    192,894.08x = 28,751,770,281.86
  5. Step 5: Solve for x
    x = 28,751,770,281.86/192,894.08
  6. Step 6: Final answer
    x = 149,054.71

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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.