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Finding the Fourth Proportional to 171,106.32, 256,567.92 and 57,204

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Solution

The fourth proportional to 171,106.32, 256,567.92 and 57,204 is: 85,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,106.32 : 256,567.92 = 57,204 : x
  2. Step 2: Convert to fraction form
    171,106.32/256,567.92 = 57,204/x
  3. Step 3: Cross multiply
    171,106.32x = 256,567.92 × 57,204
  4. Step 4: Simplify right side
    171,106.32x = 14,676,711,295.68
  5. Step 5: Solve for x
    x = 14,676,711,295.68/171,106.32
  6. Step 6: Final answer
    x = 85,775.39

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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.