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Finding the Fourth Proportional to 284,952.52, 427,286.22 and 95,347.72

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Solution

The fourth proportional to 284,952.52, 427,286.22 and 95,347.72 is: 142,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,952.52 : 427,286.22 = 95,347.72 : x
  2. Step 2: Convert to fraction form
    284,952.52/427,286.22 = 95,347.72/x
  3. Step 3: Cross multiply
    284,952.52x = 427,286.22 × 95,347.72
  4. Step 4: Simplify right side
    284,952.52x = 40,740,766,864.42
  5. Step 5: Solve for x
    x = 40,740,766,864.42/284,952.52
  6. Step 6: Final answer
    x = 142,973.88

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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.