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Finding the Fourth Proportional to 111,874.78, 167,793.82 and 30,802.90

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Solution

The fourth proportional to 111,874.78, 167,793.82 and 30,802.90 is: 46,199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,874.78 : 167,793.82 = 30,802.90 : x
  2. Step 2: Convert to fraction form
    111,874.78/167,793.82 = 30,802.90/x
  3. Step 3: Cross multiply
    111,874.78x = 167,793.82 × 30,802.90
  4. Step 4: Simplify right side
    111,874.78x = 5,168,535,265.09
  5. Step 5: Solve for x
    x = 5,168,535,265.09/111,874.78
  6. Step 6: Final answer
    x = 46,199.29

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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.