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Finding the Fourth Proportional to 166,447.88, 229,698.06 and 90,996.38

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Solution

The fourth proportional to 166,447.88, 229,698.06 and 90,996.38 is: 125,575.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,447.88 : 229,698.06 = 90,996.38 : x
  2. Step 2: Convert to fraction form
    166,447.88/229,698.06 = 90,996.38/x
  3. Step 3: Cross multiply
    166,447.88x = 229,698.06 × 90,996.38
  4. Step 4: Simplify right side
    166,447.88x = 20,901,691,953.02
  5. Step 5: Solve for x
    x = 20,901,691,953.02/166,447.88
  6. Step 6: Final answer
    x = 125,575.00

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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.