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Finding the Fourth Proportional to 111,691.34, 167,296.43 and 52,438.22

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Solution

The fourth proportional to 111,691.34, 167,296.43 and 52,438.22 is: 78,544.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,691.34 : 167,296.43 = 52,438.22 : x
  2. Step 2: Convert to fraction form
    111,691.34/167,296.43 = 52,438.22/x
  3. Step 3: Cross multiply
    111,691.34x = 167,296.43 × 52,438.22
  4. Step 4: Simplify right side
    111,691.34x = 8,772,727,001.55
  5. Step 5: Solve for x
    x = 8,772,727,001.55/111,691.34
  6. Step 6: Final answer
    x = 78,544.38

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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.