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Finding the Fourth Proportional to 228,292.36, 342,032.22 and 194,671.33

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Solution

The fourth proportional to 228,292.36, 342,032.22 and 194,671.33 is: 291,660.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,292.36 : 342,032.22 = 194,671.33 : x
  2. Step 2: Convert to fraction form
    228,292.36/342,032.22 = 194,671.33/x
  3. Step 3: Cross multiply
    228,292.36x = 342,032.22 × 194,671.33
  4. Step 4: Simplify right side
    228,292.36x = 66,583,867,170.25
  5. Step 5: Solve for x
    x = 66,583,867,170.25/228,292.36
  6. Step 6: Final answer
    x = 291,660.51

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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.