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Finding the Fourth Proportional to 248,362.56, 342,340.80 and 167,764.80

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Solution

The fourth proportional to 248,362.56, 342,340.80 and 167,764.80 is: 231,245.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,362.56 : 342,340.80 = 167,764.80 : x
  2. Step 2: Convert to fraction form
    248,362.56/342,340.80 = 167,764.80/x
  3. Step 3: Cross multiply
    248,362.56x = 342,340.80 × 167,764.80
  4. Step 4: Simplify right side
    248,362.56x = 57,432,735,843.84
  5. Step 5: Solve for x
    x = 57,432,735,843.84/248,362.56
  6. Step 6: Final answer
    x = 231,245.55

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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.