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Finding the Fourth Proportional to 195,831, 270,247.50 and 106,407

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Solution

The fourth proportional to 195,831, 270,247.50 and 106,407 is: 146,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,831 : 270,247.50 = 106,407 : x
  2. Step 2: Convert to fraction form
    195,831/270,247.50 = 106,407/x
  3. Step 3: Cross multiply
    195,831x = 270,247.50 × 106,407
  4. Step 4: Simplify right side
    195,831x = 28,756,225,732.50
  5. Step 5: Solve for x
    x = 28,756,225,732.50/195,831
  6. Step 6: Final answer
    x = 146,842.05

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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.