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Finding the Fourth Proportional to 167,782.44, 251,672.30 and 78,987.50

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Solution

The fourth proportional to 167,782.44, 251,672.30 and 78,987.50 is: 118,480.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,782.44 : 251,672.30 = 78,987.50 : x
  2. Step 2: Convert to fraction form
    167,782.44/251,672.30 = 78,987.50/x
  3. Step 3: Cross multiply
    167,782.44x = 251,672.30 × 78,987.50
  4. Step 4: Simplify right side
    167,782.44x = 19,878,965,796.25
  5. Step 5: Solve for x
    x = 19,878,965,796.25/167,782.44
  6. Step 6: Final answer
    x = 118,480.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.