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Finding the Fourth Proportional to 171,048.76, 256,567.91 and 71,206.44

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Solution

The fourth proportional to 171,048.76, 256,567.91 and 71,206.44 is: 106,807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,048.76 : 256,567.91 = 71,206.44 : x
  2. Step 2: Convert to fraction form
    171,048.76/256,567.91 = 71,206.44/x
  3. Step 3: Cross multiply
    171,048.76x = 256,567.91 × 71,206.44
  4. Step 4: Simplify right side
    171,048.76x = 18,269,287,614.37
  5. Step 5: Solve for x
    x = 18,269,287,614.37/171,048.76
  6. Step 6: Final answer
    x = 106,807.48

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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.