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Finding the Fourth Proportional to 166,714.88, 230,069.76 and 91,261.76

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Solution

The fourth proportional to 166,714.88, 230,069.76 and 91,261.76 is: 125,942.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,714.88 : 230,069.76 = 91,261.76 : x
  2. Step 2: Convert to fraction form
    166,714.88/230,069.76 = 91,261.76/x
  3. Step 3: Cross multiply
    166,714.88x = 230,069.76 × 91,261.76
  4. Step 4: Simplify right side
    166,714.88x = 20,996,571,220.38
  5. Step 5: Solve for x
    x = 20,996,571,220.38/166,714.88
  6. Step 6: Final answer
    x = 125,942.99

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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.