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Finding the Fourth Proportional to 166,771.56, 230,185.26 and 103,071

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Solution

The fourth proportional to 166,771.56, 230,185.26 and 103,071 is: 142,263.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,771.56 : 230,185.26 = 103,071 : x
  2. Step 2: Convert to fraction form
    166,771.56/230,185.26 = 103,071/x
  3. Step 3: Cross multiply
    166,771.56x = 230,185.26 × 103,071
  4. Step 4: Simplify right side
    166,771.56x = 23,725,424,933.46
  5. Step 5: Solve for x
    x = 23,725,424,933.46/166,771.56
  6. Step 6: Final answer
    x = 142,263.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.