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Finding the Fourth Proportional to 142,608, 213,923.52 and 44,112

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Solution

The fourth proportional to 142,608, 213,923.52 and 44,112 is: 66,171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,608 : 213,923.52 = 44,112 : x
  2. Step 2: Convert to fraction form
    142,608/213,923.52 = 44,112/x
  3. Step 3: Cross multiply
    142,608x = 213,923.52 × 44,112
  4. Step 4: Simplify right side
    142,608x = 9,436,594,314.24
  5. Step 5: Solve for x
    x = 9,436,594,314.24/142,608
  6. Step 6: Final answer
    x = 66,171.56

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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.