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Finding the Fourth Proportional to 111,343.12, 167,007.12 and 52,192

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Solution

The fourth proportional to 111,343.12, 167,007.12 and 52,192 is: 78,284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,343.12 : 167,007.12 = 52,192 : x
  2. Step 2: Convert to fraction form
    111,343.12/167,007.12 = 52,192/x
  3. Step 3: Cross multiply
    111,343.12x = 167,007.12 × 52,192
  4. Step 4: Simplify right side
    111,343.12x = 8,716,435,607.04
  5. Step 5: Solve for x
    x = 8,716,435,607.04/111,343.12
  6. Step 6: Final answer
    x = 78,284.46

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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.