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Finding the Fourth Proportional to 227,264.46, 313,440.92 and 199,981.64

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Solution

The fourth proportional to 227,264.46, 313,440.92 and 199,981.64 is: 275,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,264.46 : 313,440.92 = 199,981.64 : x
  2. Step 2: Convert to fraction form
    227,264.46/313,440.92 = 199,981.64/x
  3. Step 3: Cross multiply
    227,264.46x = 313,440.92 × 199,981.64
  4. Step 4: Simplify right side
    227,264.46x = 62,682,429,224.71
  5. Step 5: Solve for x
    x = 62,682,429,224.71/227,264.46
  6. Step 6: Final answer
    x = 275,812.72

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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.