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Finding the Fourth Proportional to 167,978.25, 231,820.92 and 111,400.56

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Solution

The fourth proportional to 167,978.25, 231,820.92 and 111,400.56 is: 153,740.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,978.25 : 231,820.92 = 111,400.56 : x
  2. Step 2: Convert to fraction form
    167,978.25/231,820.92 = 111,400.56/x
  3. Step 3: Cross multiply
    167,978.25x = 231,820.92 × 111,400.56
  4. Step 4: Simplify right side
    167,978.25x = 25,824,980,307.72
  5. Step 5: Solve for x
    x = 25,824,980,307.72/167,978.25
  6. Step 6: Final answer
    x = 153,740.02

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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.