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Finding the Fourth Proportional to 195,696, 270,060.48 and 106,272

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Solution

The fourth proportional to 195,696, 270,060.48 and 106,272 is: 146,655.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,696 : 270,060.48 = 106,272 : x
  2. Step 2: Convert to fraction form
    195,696/270,060.48 = 106,272/x
  3. Step 3: Cross multiply
    195,696x = 270,060.48 × 106,272
  4. Step 4: Simplify right side
    195,696x = 28,699,867,330.56
  5. Step 5: Solve for x
    x = 28,699,867,330.56/195,696
  6. Step 6: Final answer
    x = 146,655.36

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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.