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Finding the Fourth Proportional to 194,704, 292,107.84 and 61,586.68

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Solution

The fourth proportional to 194,704, 292,107.84 and 61,586.68 is: 92,396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,704 : 292,107.84 = 61,586.68 : x
  2. Step 2: Convert to fraction form
    194,704/292,107.84 = 61,586.68/x
  3. Step 3: Cross multiply
    194,704x = 292,107.84 × 61,586.68
  4. Step 4: Simplify right side
    194,704x = 17,989,952,067.57
  5. Step 5: Solve for x
    x = 17,989,952,067.57/194,704
  6. Step 6: Final answer
    x = 92,396.42

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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.