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Finding the Fourth Proportional to 195,817, 270,228.18 and 106,393

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Solution

The fourth proportional to 195,817, 270,228.18 and 106,393 is: 146,822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,817 : 270,228.18 = 106,393 : x
  2. Step 2: Convert to fraction form
    195,817/270,228.18 = 106,393/x
  3. Step 3: Cross multiply
    195,817x = 270,228.18 × 106,393
  4. Step 4: Simplify right side
    195,817x = 28,750,386,754.74
  5. Step 5: Solve for x
    x = 28,750,386,754.74/195,817
  6. Step 6: Final answer
    x = 146,822.73

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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.