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Finding the Fourth Proportional to 111,274.29, 166,954.10 and 66,932.46

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Solution

The fourth proportional to 111,274.29, 166,954.10 and 66,932.46 is: 100,424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,274.29 : 166,954.10 = 66,932.46 : x
  2. Step 2: Convert to fraction form
    111,274.29/166,954.10 = 66,932.46/x
  3. Step 3: Cross multiply
    111,274.29x = 166,954.10 × 66,932.46
  4. Step 4: Simplify right side
    111,274.29x = 11,174,648,285.42
  5. Step 5: Solve for x
    x = 11,174,648,285.42/111,274.29
  6. Step 6: Final answer
    x = 100,424.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.