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Finding the Fourth Proportional to 171,437.42, 257,197.17 and 71,542.03

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Solution

The fourth proportional to 171,437.42, 257,197.17 and 71,542.03 is: 107,330.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,437.42 : 257,197.17 = 71,542.03 : x
  2. Step 2: Convert to fraction form
    171,437.42/257,197.17 = 71,542.03/x
  3. Step 3: Cross multiply
    171,437.42x = 257,197.17 × 71,542.03
  4. Step 4: Simplify right side
    171,437.42x = 18,400,407,294.35
  5. Step 5: Solve for x
    x = 18,400,407,294.35/171,437.42
  6. Step 6: Final answer
    x = 107,330.17

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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.