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Finding the Fourth Proportional to 141,193.53, 194,840.24 and 76,661.24

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Solution

The fourth proportional to 141,193.53, 194,840.24 and 76,661.24 is: 105,788.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,193.53 : 194,840.24 = 76,661.24 : x
  2. Step 2: Convert to fraction form
    141,193.53/194,840.24 = 76,661.24/x
  3. Step 3: Cross multiply
    141,193.53x = 194,840.24 × 76,661.24
  4. Step 4: Simplify right side
    141,193.53x = 14,936,693,042.79
  5. Step 5: Solve for x
    x = 14,936,693,042.79/141,193.53
  6. Step 6: Final answer
    x = 105,788.79

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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.