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Finding the Fourth Proportional to 194,657.27, 291,960.66 and 61,550.96

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Solution

The fourth proportional to 194,657.27, 291,960.66 and 61,550.96 is: 92,318.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,657.27 : 291,960.66 = 61,550.96 : x
  2. Step 2: Convert to fraction form
    194,657.27/291,960.66 = 61,550.96/x
  3. Step 3: Cross multiply
    194,657.27x = 291,960.66 × 61,550.96
  4. Step 4: Simplify right side
    194,657.27x = 17,970,458,905.23
  5. Step 5: Solve for x
    x = 17,970,458,905.23/194,657.27
  6. Step 6: Final answer
    x = 92,318.46

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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.