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Finding the Fourth Proportional to 192,851.89, 289,464.41 and 93,082.32

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Solution

The fourth proportional to 192,851.89, 289,464.41 and 93,082.32 is: 139,713.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,851.89 : 289,464.41 = 93,082.32 : x
  2. Step 2: Convert to fraction form
    192,851.89/289,464.41 = 93,082.32/x
  3. Step 3: Cross multiply
    192,851.89x = 289,464.41 × 93,082.32
  4. Step 4: Simplify right side
    192,851.89x = 26,944,019,072.94
  5. Step 5: Solve for x
    x = 26,944,019,072.94/192,851.89
  6. Step 6: Final answer
    x = 139,713.54

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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.