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Finding the Fourth Proportional to 227,392.87, 313,831.16 and 189,086.50

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Solution

The fourth proportional to 227,392.87, 313,831.16 and 189,086.50 is: 260,963.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,392.87 : 313,831.16 = 189,086.50 : x
  2. Step 2: Convert to fraction form
    227,392.87/313,831.16 = 189,086.50/x
  3. Step 3: Cross multiply
    227,392.87x = 313,831.16 × 189,086.50
  4. Step 4: Simplify right side
    227,392.87x = 59,341,235,791.27
  5. Step 5: Solve for x
    x = 59,341,235,791.27/227,392.87
  6. Step 6: Final answer
    x = 260,963.49

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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.