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Finding the Fourth Proportional to 167,047.56, 250,452.28 and 78,252.64

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Solution

The fourth proportional to 167,047.56, 250,452.28 and 78,252.64 is: 117,323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,047.56 : 250,452.28 = 78,252.64 : x
  2. Step 2: Convert to fraction form
    167,047.56/250,452.28 = 78,252.64/x
  3. Step 3: Cross multiply
    167,047.56x = 250,452.28 × 78,252.64
  4. Step 4: Simplify right side
    167,047.56x = 19,598,552,104.02
  5. Step 5: Solve for x
    x = 19,598,552,104.02/167,047.56
  6. Step 6: Final answer
    x = 117,323.19

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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.