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Finding the Fourth Proportional to 238,053.94, 356,831.63 and 80,227.86

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Solution

The fourth proportional to 238,053.94, 356,831.63 and 80,227.86 is: 120,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,053.94 : 356,831.63 = 80,227.86 : x
  2. Step 2: Convert to fraction form
    238,053.94/356,831.63 = 80,227.86/x
  3. Step 3: Cross multiply
    238,053.94x = 356,831.63 × 80,227.86
  4. Step 4: Simplify right side
    238,053.94x = 28,627,838,055.21
  5. Step 5: Solve for x
    x = 28,627,838,055.21/238,053.94
  6. Step 6: Final answer
    x = 120,257.78

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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.