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Finding the Fourth Proportional to 298,701.25, 412,207.73 and 164,568.13

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Solution

The fourth proportional to 298,701.25, 412,207.73 and 164,568.13 is: 227,104.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,701.25 : 412,207.73 = 164,568.13 : x
  2. Step 2: Convert to fraction form
    298,701.25/412,207.73 = 164,568.13/x
  3. Step 3: Cross multiply
    298,701.25x = 412,207.73 × 164,568.13
  4. Step 4: Simplify right side
    298,701.25x = 67,836,255,297.64
  5. Step 5: Solve for x
    x = 67,836,255,297.64/298,701.25
  6. Step 6: Final answer
    x = 227,104.02

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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.