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Finding the Fourth Proportional to 102,551.46, 141,310.83 and 75,651.30

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Solution

The fourth proportional to 102,551.46, 141,310.83 and 75,651.30 is: 104,243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,551.46 : 141,310.83 = 75,651.30 : x
  2. Step 2: Convert to fraction form
    102,551.46/141,310.83 = 75,651.30/x
  3. Step 3: Cross multiply
    102,551.46x = 141,310.83 × 75,651.30
  4. Step 4: Simplify right side
    102,551.46x = 10,690,347,993.58
  5. Step 5: Solve for x
    x = 10,690,347,993.58/102,551.46
  6. Step 6: Final answer
    x = 104,243.74

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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.