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Finding the Fourth Proportional to 129,642.80, 194,464.20 and 31,146.80

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Solution

The fourth proportional to 129,642.80, 194,464.20 and 31,146.80 is: 46,720.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,642.80 : 194,464.20 = 31,146.80 : x
  2. Step 2: Convert to fraction form
    129,642.80/194,464.20 = 31,146.80/x
  3. Step 3: Cross multiply
    129,642.80x = 194,464.20 × 31,146.80
  4. Step 4: Simplify right side
    129,642.80x = 6,056,937,544.56
  5. Step 5: Solve for x
    x = 6,056,937,544.56/129,642.80
  6. Step 6: Final answer
    x = 46,720.20

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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.