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Finding the Fourth Proportional to 299,866.76, 413,822.01 and 163,896.92

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Solution

The fourth proportional to 299,866.76, 413,822.01 and 163,896.92 is: 226,180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,866.76 : 413,822.01 = 163,896.92 : x
  2. Step 2: Convert to fraction form
    299,866.76/413,822.01 = 163,896.92/x
  3. Step 3: Cross multiply
    299,866.76x = 413,822.01 × 163,896.92
  4. Step 4: Simplify right side
    299,866.76x = 67,824,150,798.10
  5. Step 5: Solve for x
    x = 67,824,150,798.10/299,866.76
  6. Step 6: Final answer
    x = 226,180.96

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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.