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Finding the Fourth Proportional to 299,895.12, 413,855.25 and 163,929.64

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Solution

The fourth proportional to 299,895.12, 413,855.25 and 163,929.64 is: 226,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,895.12 : 413,855.25 = 163,929.64 : x
  2. Step 2: Convert to fraction form
    299,895.12/413,855.25 = 163,929.64/x
  3. Step 3: Cross multiply
    299,895.12x = 413,855.25 × 163,929.64
  4. Step 4: Simplify right side
    299,895.12x = 67,843,142,144.61
  5. Step 5: Solve for x
    x = 67,843,142,144.61/299,895.12
  6. Step 6: Final answer
    x = 226,222.89

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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.