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Finding the Fourth Proportional to 228,052.86, 341,934.39 and 200,029.20

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Solution

The fourth proportional to 228,052.86, 341,934.39 and 200,029.20 is: 299,916.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,052.86 : 341,934.39 = 200,029.20 : x
  2. Step 2: Convert to fraction form
    228,052.86/341,934.39 = 200,029.20/x
  3. Step 3: Cross multiply
    228,052.86x = 341,934.39 × 200,029.20
  4. Step 4: Simplify right side
    228,052.86x = 68,396,862,484.19
  5. Step 5: Solve for x
    x = 68,396,862,484.19/228,052.86
  6. Step 6: Final answer
    x = 299,916.71

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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.