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Finding the Fourth Proportional to 141,118.42, 194,745.72 and 77,462.14

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Solution

The fourth proportional to 141,118.42, 194,745.72 and 77,462.14 is: 106,899.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,118.42 : 194,745.72 = 77,462.14 : x
  2. Step 2: Convert to fraction form
    141,118.42/194,745.72 = 77,462.14/x
  3. Step 3: Cross multiply
    141,118.42x = 194,745.72 × 77,462.14
  4. Step 4: Simplify right side
    141,118.42x = 15,085,420,227.04
  5. Step 5: Solve for x
    x = 15,085,420,227.04/141,118.42
  6. Step 6: Final answer
    x = 106,899.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.