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Finding the Fourth Proportional to 171,584.16, 257,014.16 and 137,666.54

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Solution

The fourth proportional to 171,584.16, 257,014.16 and 137,666.54 is: 206,209.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,584.16 : 257,014.16 = 137,666.54 : x
  2. Step 2: Convert to fraction form
    171,584.16/257,014.16 = 137,666.54/x
  3. Step 3: Cross multiply
    171,584.16x = 257,014.16 × 137,666.54
  4. Step 4: Simplify right side
    171,584.16x = 35,382,250,138.21
  5. Step 5: Solve for x
    x = 35,382,250,138.21/171,584.16
  6. Step 6: Final answer
    x = 206,209.31

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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.