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Finding the Fourth Proportional to 227,472, 313,911.36 and 126,870

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Solution

The fourth proportional to 227,472, 313,911.36 and 126,870 is: 175,080.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,472 : 313,911.36 = 126,870 : x
  2. Step 2: Convert to fraction form
    227,472/313,911.36 = 126,870/x
  3. Step 3: Cross multiply
    227,472x = 313,911.36 × 126,870
  4. Step 4: Simplify right side
    227,472x = 39,825,934,243.20
  5. Step 5: Solve for x
    x = 39,825,934,243.20/227,472
  6. Step 6: Final answer
    x = 175,080.60

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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.