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Finding the Fourth Proportional to 166,717, 230,069.64 and 91,265.68

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Solution

The fourth proportional to 166,717, 230,069.64 and 91,265.68 is: 125,946.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,717 : 230,069.64 = 91,265.68 : x
  2. Step 2: Convert to fraction form
    166,717/230,069.64 = 91,265.68/x
  3. Step 3: Cross multiply
    166,717x = 230,069.64 × 91,265.68
  4. Step 4: Simplify right side
    166,717x = 20,997,462,141.96
  5. Step 5: Solve for x
    x = 20,997,462,141.96/166,717
  6. Step 6: Final answer
    x = 125,946.74

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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.