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Finding the Fourth Proportional to 228,229.94, 314,851.19 and 147,683.49

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Solution

The fourth proportional to 228,229.94, 314,851.19 and 147,683.49 is: 203,734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,229.94 : 314,851.19 = 147,683.49 : x
  2. Step 2: Convert to fraction form
    228,229.94/314,851.19 = 147,683.49/x
  3. Step 3: Cross multiply
    228,229.94x = 314,851.19 × 147,683.49
  4. Step 4: Simplify right side
    228,229.94x = 46,498,321,831.44
  5. Step 5: Solve for x
    x = 46,498,321,831.44/228,229.94
  6. Step 6: Final answer
    x = 203,734.54

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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.