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Finding the Fourth Proportional to 299,063.16, 412,701.96 and 163,098.16

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Solution

The fourth proportional to 299,063.16, 412,701.96 and 163,098.16 is: 225,072.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,063.16 : 412,701.96 = 163,098.16 : x
  2. Step 2: Convert to fraction form
    299,063.16/412,701.96 = 163,098.16/x
  3. Step 3: Cross multiply
    299,063.16x = 412,701.96 × 163,098.16
  4. Step 4: Simplify right side
    299,063.16x = 67,310,930,304.39
  5. Step 5: Solve for x
    x = 67,310,930,304.39/299,063.16
  6. Step 6: Final answer
    x = 225,072.62

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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.