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Finding the Fourth Proportional to 299,948.97, 413,939.70 and 163,980.21

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Solution

The fourth proportional to 299,948.97, 413,939.70 and 163,980.21 is: 226,298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,948.97 : 413,939.70 = 163,980.21 : x
  2. Step 2: Convert to fraction form
    299,948.97/413,939.70 = 163,980.21/x
  3. Step 3: Cross multiply
    299,948.97x = 413,939.70 × 163,980.21
  4. Step 4: Simplify right side
    299,948.97x = 67,877,920,485.61
  5. Step 5: Solve for x
    x = 67,877,920,485.61/299,948.97
  6. Step 6: Final answer
    x = 226,298.23

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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.