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Finding the Fourth Proportional to 202,956.05, 284,760.55 and 202,956.05

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Solution

The fourth proportional to 202,956.05, 284,760.55 and 202,956.05 is: 284,760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,956.05 : 284,760.55 = 202,956.05 : x
  2. Step 2: Convert to fraction form
    202,956.05/284,760.55 = 202,956.05/x
  3. Step 3: Cross multiply
    202,956.05x = 284,760.55 × 202,956.05
  4. Step 4: Simplify right side
    202,956.05x = 57,793,876,423.83
  5. Step 5: Solve for x
    x = 57,793,876,423.83/202,956.05
  6. Step 6: Final answer
    x = 284,760.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.