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Finding the Fourth Proportional to 299,895.62, 413,855.94 and 163,930.14

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Solution

The fourth proportional to 299,895.62, 413,855.94 and 163,930.14 is: 226,223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,895.62 : 413,855.94 = 163,930.14 : x
  2. Step 2: Convert to fraction form
    299,895.62/413,855.94 = 163,930.14/x
  3. Step 3: Cross multiply
    299,895.62x = 413,855.94 × 163,930.14
  4. Step 4: Simplify right side
    299,895.62x = 67,843,462,184.03
  5. Step 5: Solve for x
    x = 67,843,462,184.03/299,895.62
  6. Step 6: Final answer
    x = 226,223.58

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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.