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Finding the Fourth Proportional to 182,854.02, 252,361.90 and 102,286.02

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Solution

The fourth proportional to 182,854.02, 252,361.90 and 102,286.02 is: 141,167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,854.02 : 252,361.90 = 102,286.02 : x
  2. Step 2: Convert to fraction form
    182,854.02/252,361.90 = 102,286.02/x
  3. Step 3: Cross multiply
    182,854.02x = 252,361.90 × 102,286.02
  4. Step 4: Simplify right side
    182,854.02x = 25,813,094,350.64
  5. Step 5: Solve for x
    x = 25,813,094,350.64/182,854.02
  6. Step 6: Final answer
    x = 141,167.77

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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.