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Finding the Fourth Proportional to 111,396.96, 167,102.16 and 44,836.80

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Solution

The fourth proportional to 111,396.96, 167,102.16 and 44,836.80 is: 67,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,396.96 : 167,102.16 = 44,836.80 : x
  2. Step 2: Convert to fraction form
    111,396.96/167,102.16 = 44,836.80/x
  3. Step 3: Cross multiply
    111,396.96x = 167,102.16 × 44,836.80
  4. Step 4: Simplify right side
    111,396.96x = 7,492,326,127.49
  5. Step 5: Solve for x
    x = 7,492,326,127.49/111,396.96
  6. Step 6: Final answer
    x = 67,257.90

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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.