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Finding the Fourth Proportional to 194,564.89, 291,861.74 and 69,906.97

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Solution

The fourth proportional to 194,564.89, 291,861.74 and 69,906.97 is: 104,865.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,564.89 : 291,861.74 = 69,906.97 : x
  2. Step 2: Convert to fraction form
    194,564.89/291,861.74 = 69,906.97/x
  3. Step 3: Cross multiply
    194,564.89x = 291,861.74 × 69,906.97
  4. Step 4: Simplify right side
    194,564.89x = 20,403,169,552.79
  5. Step 5: Solve for x
    x = 20,403,169,552.79/194,564.89
  6. Step 6: Final answer
    x = 104,865.63

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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.