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Finding the Fourth Proportional to 299,844.98, 413,786.07 and 163,878.92

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Solution

The fourth proportional to 299,844.98, 413,786.07 and 163,878.92 is: 226,152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,844.98 : 413,786.07 = 163,878.92 : x
  2. Step 2: Convert to fraction form
    299,844.98/413,786.07 = 163,878.92/x
  3. Step 3: Cross multiply
    299,844.98x = 413,786.07 × 163,878.92
  4. Step 4: Simplify right side
    299,844.98x = 67,810,812,193.71
  5. Step 5: Solve for x
    x = 67,810,812,193.71/299,844.98
  6. Step 6: Final answer
    x = 226,152.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.