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Finding the Fourth Proportional to 171,144.76, 256,466.52 and 96,410.56

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Solution

The fourth proportional to 171,144.76, 256,466.52 and 96,410.56 is: 144,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,144.76 : 256,466.52 = 96,410.56 : x
  2. Step 2: Convert to fraction form
    171,144.76/256,466.52 = 96,410.56/x
  3. Step 3: Cross multiply
    171,144.76x = 256,466.52 × 96,410.56
  4. Step 4: Simplify right side
    171,144.76x = 24,726,080,814.45
  5. Step 5: Solve for x
    x = 24,726,080,814.45/171,144.76
  6. Step 6: Final answer
    x = 144,474.66

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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.