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Finding the Fourth Proportional to 299,747.49, 413,639.22 and 163,786.11

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Solution

The fourth proportional to 299,747.49, 413,639.22 and 163,786.11 is: 226,018.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,747.49 : 413,639.22 = 163,786.11 : x
  2. Step 2: Convert to fraction form
    299,747.49/413,639.22 = 163,786.11/x
  3. Step 3: Cross multiply
    299,747.49x = 413,639.22 × 163,786.11
  4. Step 4: Simplify right side
    299,747.49x = 67,748,358,787.23
  5. Step 5: Solve for x
    x = 67,748,358,787.23/299,747.49
  6. Step 6: Final answer
    x = 226,018.10

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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.