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Finding the Fourth Proportional to 206,161.92, 284,381.28 and 130,579.20

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Solution

The fourth proportional to 206,161.92, 284,381.28 and 130,579.20 is: 180,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,161.92 : 284,381.28 = 130,579.20 : x
  2. Step 2: Convert to fraction form
    206,161.92/284,381.28 = 130,579.20/x
  3. Step 3: Cross multiply
    206,161.92x = 284,381.28 × 130,579.20
  4. Step 4: Simplify right side
    206,161.92x = 37,134,280,037.38
  5. Step 5: Solve for x
    x = 37,134,280,037.38/206,161.92
  6. Step 6: Final answer
    x = 180,121.92

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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.