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Finding the Fourth Proportional to 141,895.96, 212,745.52 and 75,382.79

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Solution

The fourth proportional to 141,895.96, 212,745.52 and 75,382.79 is: 113,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,895.96 : 212,745.52 = 75,382.79 : x
  2. Step 2: Convert to fraction form
    141,895.96/212,745.52 = 75,382.79/x
  3. Step 3: Cross multiply
    141,895.96x = 212,745.52 × 75,382.79
  4. Step 4: Simplify right side
    141,895.96x = 16,037,351,201.01
  5. Step 5: Solve for x
    x = 16,037,351,201.01/141,895.96
  6. Step 6: Final answer
    x = 113,021.90

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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.