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Finding the Fourth Proportional to 361,448.02, 542,125.77 and 95,229.10

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Solution

The fourth proportional to 361,448.02, 542,125.77 and 95,229.10 is: 142,831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,448.02 : 542,125.77 = 95,229.10 : x
  2. Step 2: Convert to fraction form
    361,448.02/542,125.77 = 95,229.10/x
  3. Step 3: Cross multiply
    361,448.02x = 542,125.77 × 95,229.10
  4. Step 4: Simplify right side
    361,448.02x = 51,626,149,163.91
  5. Step 5: Solve for x
    x = 51,626,149,163.91/361,448.02
  6. Step 6: Final answer
    x = 142,831.46

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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.