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Finding the Fourth Proportional to 149,831.52, 224,832.48 and 55,049.52

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Solution

The fourth proportional to 149,831.52, 224,832.48 and 55,049.52 is: 82,605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,831.52 : 224,832.48 = 55,049.52 : x
  2. Step 2: Convert to fraction form
    149,831.52/224,832.48 = 55,049.52/x
  3. Step 3: Cross multiply
    149,831.52x = 224,832.48 × 55,049.52
  4. Step 4: Simplify right side
    149,831.52x = 12,376,920,104.41
  5. Step 5: Solve for x
    x = 12,376,920,104.41/149,831.52
  6. Step 6: Final answer
    x = 82,605.58

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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.