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Finding the Fourth Proportional to 111,214.32, 166,676.84 and 84,822

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Solution

The fourth proportional to 111,214.32, 166,676.84 and 84,822 is: 127,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,214.32 : 166,676.84 = 84,822 : x
  2. Step 2: Convert to fraction form
    111,214.32/166,676.84 = 84,822/x
  3. Step 3: Cross multiply
    111,214.32x = 166,676.84 × 84,822
  4. Step 4: Simplify right side
    111,214.32x = 14,137,862,922.48
  5. Step 5: Solve for x
    x = 14,137,862,922.48/111,214.32
  6. Step 6: Final answer
    x = 127,122.68

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