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Finding the Fourth Proportional to 227,466, 313,903.08 and 126,864

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Solution

The fourth proportional to 227,466, 313,903.08 and 126,864 is: 175,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,466 : 313,903.08 = 126,864 : x
  2. Step 2: Convert to fraction form
    227,466/313,903.08 = 126,864/x
  3. Step 3: Cross multiply
    227,466x = 313,903.08 × 126,864
  4. Step 4: Simplify right side
    227,466x = 39,823,000,341.12
  5. Step 5: Solve for x
    x = 39,823,000,341.12/227,466
  6. Step 6: Final answer
    x = 175,072.32

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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.