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Finding the Fourth Proportional to 167,255.14, 251,020.96 and 83,011.90

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Solution

The fourth proportional to 167,255.14, 251,020.96 and 83,011.90 is: 124,586.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,255.14 : 251,020.96 = 83,011.90 : x
  2. Step 2: Convert to fraction form
    167,255.14/251,020.96 = 83,011.90/x
  3. Step 3: Cross multiply
    167,255.14x = 251,020.96 × 83,011.90
  4. Step 4: Simplify right side
    167,255.14x = 20,837,726,829.42
  5. Step 5: Solve for x
    x = 20,837,726,829.42/167,255.14
  6. Step 6: Final answer
    x = 124,586.47

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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.