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Finding the Fourth Proportional to 138,831.60, 208,247.40 and 33,650.56

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Solution

The fourth proportional to 138,831.60, 208,247.40 and 33,650.56 is: 50,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,831.60 : 208,247.40 = 33,650.56 : x
  2. Step 2: Convert to fraction form
    138,831.60/208,247.40 = 33,650.56/x
  3. Step 3: Cross multiply
    138,831.60x = 208,247.40 × 33,650.56
  4. Step 4: Simplify right side
    138,831.60x = 7,007,641,628.54
  5. Step 5: Solve for x
    x = 7,007,641,628.54/138,831.60
  6. Step 6: Final answer
    x = 50,475.84

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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.