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Finding the Fourth Proportional to 171,927.20, 257,915.10 and 53,586.20

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Solution

The fourth proportional to 171,927.20, 257,915.10 and 53,586.20 is: 80,386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,927.20 : 257,915.10 = 53,586.20 : x
  2. Step 2: Convert to fraction form
    171,927.20/257,915.10 = 53,586.20/x
  3. Step 3: Cross multiply
    171,927.20x = 257,915.10 × 53,586.20
  4. Step 4: Simplify right side
    171,927.20x = 13,820,690,131.62
  5. Step 5: Solve for x
    x = 13,820,690,131.62/171,927.20
  6. Step 6: Final answer
    x = 80,386.87

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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.