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Finding the Fourth Proportional to 111,596.72, 167,252.76 and 52,301.60

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Solution

The fourth proportional to 111,596.72, 167,252.76 and 52,301.60 is: 78,385.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,596.72 : 167,252.76 = 52,301.60 : x
  2. Step 2: Convert to fraction form
    111,596.72/167,252.76 = 52,301.60/x
  3. Step 3: Cross multiply
    111,596.72x = 167,252.76 × 52,301.60
  4. Step 4: Simplify right side
    111,596.72x = 8,747,586,952.42
  5. Step 5: Solve for x
    x = 8,747,586,952.42/111,596.72
  6. Step 6: Final answer
    x = 78,385.70

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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.