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Finding the Fourth Proportional to 299,938.26, 413,913.78 and 163,972.20

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Solution

The fourth proportional to 299,938.26, 413,913.78 and 163,972.20 is: 226,281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,938.26 : 413,913.78 = 163,972.20 : x
  2. Step 2: Convert to fraction form
    299,938.26/413,913.78 = 163,972.20/x
  3. Step 3: Cross multiply
    299,938.26x = 413,913.78 × 163,972.20
  4. Step 4: Simplify right side
    299,938.26x = 67,870,353,116.92
  5. Step 5: Solve for x
    x = 67,870,353,116.92/299,938.26
  6. Step 6: Final answer
    x = 226,281.08

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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.