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Finding the Fourth Proportional to 166,952.52, 230,395.19 and 90,471.78

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Solution

The fourth proportional to 166,952.52, 230,395.19 and 90,471.78 is: 124,851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,952.52 : 230,395.19 = 90,471.78 : x
  2. Step 2: Convert to fraction form
    166,952.52/230,395.19 = 90,471.78/x
  3. Step 3: Cross multiply
    166,952.52x = 230,395.19 × 90,471.78
  4. Step 4: Simplify right side
    166,952.52x = 20,844,262,490.38
  5. Step 5: Solve for x
    x = 20,844,262,490.38/166,952.52
  6. Step 6: Final answer
    x = 124,851.44

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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.