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Finding the Fourth Proportional to 129,845.88, 194,794.07 and 49,878

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Solution

The fourth proportional to 129,845.88, 194,794.07 and 49,878 is: 74,826.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,845.88 : 194,794.07 = 49,878 : x
  2. Step 2: Convert to fraction form
    129,845.88/194,794.07 = 49,878/x
  3. Step 3: Cross multiply
    129,845.88x = 194,794.07 × 49,878
  4. Step 4: Simplify right side
    129,845.88x = 9,715,938,374.07
  5. Step 5: Solve for x
    x = 9,715,938,374.07/129,845.88
  6. Step 6: Final answer
    x = 74,826.70

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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.