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Finding the Fourth Proportional to 171,274.82, 256,817.91 and 52,913.30

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Solution

The fourth proportional to 171,274.82, 256,817.91 and 52,913.30 is: 79,340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,274.82 : 256,817.91 = 52,913.30 : x
  2. Step 2: Convert to fraction form
    171,274.82/256,817.91 = 52,913.30/x
  3. Step 3: Cross multiply
    171,274.82x = 256,817.91 × 52,913.30
  4. Step 4: Simplify right side
    171,274.82x = 13,589,083,117.20
  5. Step 5: Solve for x
    x = 13,589,083,117.20/171,274.82
  6. Step 6: Final answer
    x = 79,340.81

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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.