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Finding the Fourth Proportional to 192,996.32, 266,354.56 and 111,327.68

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Solution

The fourth proportional to 192,996.32, 266,354.56 and 111,327.68 is: 153,643.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,996.32 : 266,354.56 = 111,327.68 : x
  2. Step 2: Convert to fraction form
    192,996.32/266,354.56 = 111,327.68/x
  3. Step 3: Cross multiply
    192,996.32x = 266,354.56 × 111,327.68
  4. Step 4: Simplify right side
    192,996.32x = 29,652,635,222.22
  5. Step 5: Solve for x
    x = 29,652,635,222.22/192,996.32
  6. Step 6: Final answer
    x = 153,643.53

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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.