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Finding the Fourth Proportional to 111,922.30, 167,737.65 and 45,307.90

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Solution

The fourth proportional to 111,922.30, 167,737.65 and 45,307.90 is: 67,902.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,922.30 : 167,737.65 = 45,307.90 : x
  2. Step 2: Convert to fraction form
    111,922.30/167,737.65 = 45,307.90/x
  3. Step 3: Cross multiply
    111,922.30x = 167,737.65 × 45,307.90
  4. Step 4: Simplify right side
    111,922.30x = 7,599,840,672.44
  5. Step 5: Solve for x
    x = 7,599,840,672.44/111,922.30
  6. Step 6: Final answer
    x = 67,902.83

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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.