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Finding the Fourth Proportional to 194,093.21, 290,966.67 and 75,737.03

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Solution

The fourth proportional to 194,093.21, 290,966.67 and 75,737.03 is: 113,537.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,093.21 : 290,966.67 = 75,737.03 : x
  2. Step 2: Convert to fraction form
    194,093.21/290,966.67 = 75,737.03/x
  3. Step 3: Cross multiply
    194,093.21x = 290,966.67 × 75,737.03
  4. Step 4: Simplify right side
    194,093.21x = 22,036,949,959.96
  5. Step 5: Solve for x
    x = 22,036,949,959.96/194,093.21
  6. Step 6: Final answer
    x = 113,537.97

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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.