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Finding the Fourth Proportional to 194,702, 292,104.84 and 61,584.68

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Solution

The fourth proportional to 194,702, 292,104.84 and 61,584.68 is: 92,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,702 : 292,104.84 = 61,584.68 : x
  2. Step 2: Convert to fraction form
    194,702/292,104.84 = 61,584.68/x
  3. Step 3: Cross multiply
    194,702x = 292,104.84 × 61,584.68
  4. Step 4: Simplify right side
    194,702x = 17,989,183,097.85
  5. Step 5: Solve for x
    x = 17,989,183,097.85/194,702
  6. Step 6: Final answer
    x = 92,393.42

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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.