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Finding the Fourth Proportional to 195,196, 269,370.48 and 105,772

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Solution

The fourth proportional to 195,196, 269,370.48 and 105,772 is: 145,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,196 : 269,370.48 = 105,772 : x
  2. Step 2: Convert to fraction form
    195,196/269,370.48 = 105,772/x
  3. Step 3: Cross multiply
    195,196x = 269,370.48 × 105,772
  4. Step 4: Simplify right side
    195,196x = 28,491,854,410.56
  5. Step 5: Solve for x
    x = 28,491,854,410.56/195,196
  6. Step 6: Final answer
    x = 145,965.36

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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.