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Finding the Fourth Proportional to 171,453.78, 257,056.05 and 71,642.54

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Solution

The fourth proportional to 171,453.78, 257,056.05 and 71,642.54 is: 107,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,453.78 : 257,056.05 = 71,642.54 : x
  2. Step 2: Convert to fraction form
    171,453.78/257,056.05 = 71,642.54/x
  3. Step 3: Cross multiply
    171,453.78x = 257,056.05 × 71,642.54
  4. Step 4: Simplify right side
    171,453.78x = 18,416,148,344.37
  5. Step 5: Solve for x
    x = 18,416,148,344.37/171,453.78
  6. Step 6: Final answer
    x = 107,411.74

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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.