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Finding the Fourth Proportional to 299,896.03, 413,856.48 and 163,930.53

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Solution

The fourth proportional to 299,896.03, 413,856.48 and 163,930.53 is: 226,224.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,896.03 : 413,856.48 = 163,930.53 : x
  2. Step 2: Convert to fraction form
    299,896.03/413,856.48 = 163,930.53/x
  3. Step 3: Cross multiply
    299,896.03x = 413,856.48 × 163,930.53
  4. Step 4: Simplify right side
    299,896.03x = 67,843,712,110.33
  5. Step 5: Solve for x
    x = 67,843,712,110.33/299,896.03
  6. Step 6: Final answer
    x = 226,224.11

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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.