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Finding the Fourth Proportional to 196,255, 270,831.90 and 106,831

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Solution

The fourth proportional to 196,255, 270,831.90 and 106,831 is: 147,426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,255 : 270,831.90 = 106,831 : x
  2. Step 2: Convert to fraction form
    196,255/270,831.90 = 106,831/x
  3. Step 3: Cross multiply
    196,255x = 270,831.90 × 106,831
  4. Step 4: Simplify right side
    196,255x = 28,933,242,708.90
  5. Step 5: Solve for x
    x = 28,933,242,708.90/196,255
  6. Step 6: Final answer
    x = 147,426.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.