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Finding the Fourth Proportional to 180,614.50, 270,921.75 and 49,286.50

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Solution

The fourth proportional to 180,614.50, 270,921.75 and 49,286.50 is: 73,929.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,614.50 : 270,921.75 = 49,286.50 : x
  2. Step 2: Convert to fraction form
    180,614.50/270,921.75 = 49,286.50/x
  3. Step 3: Cross multiply
    180,614.50x = 270,921.75 × 49,286.50
  4. Step 4: Simplify right side
    180,614.50x = 13,352,784,831.38
  5. Step 5: Solve for x
    x = 13,352,784,831.38/180,614.50
  6. Step 6: Final answer
    x = 73,929.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.