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Finding the Fourth Proportional to 193,916.94, 290,798.46 and 81,650.94

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Solution

The fourth proportional to 193,916.94, 290,798.46 and 81,650.94 is: 122,444.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,916.94 : 290,798.46 = 81,650.94 : x
  2. Step 2: Convert to fraction form
    193,916.94/290,798.46 = 81,650.94/x
  3. Step 3: Cross multiply
    193,916.94x = 290,798.46 × 81,650.94
  4. Step 4: Simplify right side
    193,916.94x = 23,743,967,609.55
  5. Step 5: Solve for x
    x = 23,743,967,609.55/193,916.94
  6. Step 6: Final answer
    x = 122,444.01

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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.