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Finding the Fourth Proportional to 192,764, 266,178.48 and 121,263.68

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Solution

The fourth proportional to 192,764, 266,178.48 and 121,263.68 is: 167,447.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,764 : 266,178.48 = 121,263.68 : x
  2. Step 2: Convert to fraction form
    192,764/266,178.48 = 121,263.68/x
  3. Step 3: Cross multiply
    192,764x = 266,178.48 × 121,263.68
  4. Step 4: Simplify right side
    192,764x = 32,277,782,021.61
  5. Step 5: Solve for x
    x = 32,277,782,021.61/192,764
  6. Step 6: Final answer
    x = 167,447.15

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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.