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Finding the Fourth Proportional to 299,928.92, 413,911.89 and 163,959.89

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Solution

The fourth proportional to 299,928.92, 413,911.89 and 163,959.89 is: 226,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,928.92 : 413,911.89 = 163,959.89 : x
  2. Step 2: Convert to fraction form
    299,928.92/413,911.89 = 163,959.89/x
  3. Step 3: Cross multiply
    299,928.92x = 413,911.89 × 163,959.89
  4. Step 4: Simplify right side
    299,928.92x = 67,864,945,884.53
  5. Step 5: Solve for x
    x = 67,864,945,884.53/299,928.92
  6. Step 6: Final answer
    x = 226,270.10

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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.