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Finding the Fourth Proportional to 111,583.72, 167,233.26 and 52,288.60

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Solution

The fourth proportional to 111,583.72, 167,233.26 and 52,288.60 is: 78,366.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,583.72 : 167,233.26 = 52,288.60 : x
  2. Step 2: Convert to fraction form
    111,583.72/167,233.26 = 52,288.60/x
  3. Step 3: Cross multiply
    111,583.72x = 167,233.26 × 52,288.60
  4. Step 4: Simplify right side
    111,583.72x = 8,744,393,038.84
  5. Step 5: Solve for x
    x = 8,744,393,038.84/111,583.72
  6. Step 6: Final answer
    x = 78,366.21

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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.