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Finding the Fourth Proportional to 142,745.28, 214,142.24 and 49,229.12

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Solution

The fourth proportional to 142,745.28, 214,142.24 and 49,229.12 is: 73,852.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,745.28 : 214,142.24 = 49,229.12 : x
  2. Step 2: Convert to fraction form
    142,745.28/214,142.24 = 49,229.12/x
  3. Step 3: Cross multiply
    142,745.28x = 214,142.24 × 49,229.12
  4. Step 4: Simplify right side
    142,745.28x = 10,542,034,030.03
  5. Step 5: Solve for x
    x = 10,542,034,030.03/142,745.28
  6. Step 6: Final answer
    x = 73,852.07

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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.