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Finding the Fourth Proportional to 227,707.86, 313,541.22 and 206,348.16

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Solution

The fourth proportional to 227,707.86, 313,541.22 and 206,348.16 is: 284,130.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,707.86 : 313,541.22 = 206,348.16 : x
  2. Step 2: Convert to fraction form
    227,707.86/313,541.22 = 206,348.16/x
  3. Step 3: Cross multiply
    227,707.86x = 313,541.22 × 206,348.16
  4. Step 4: Simplify right side
    227,707.86x = 64,698,653,831.16
  5. Step 5: Solve for x
    x = 64,698,653,831.16/227,707.86
  6. Step 6: Final answer
    x = 284,130.09

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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.