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Finding the Fourth Proportional to 202,568.14, 279,549.67 and 111,929.97

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Solution

The fourth proportional to 202,568.14, 279,549.67 and 111,929.97 is: 154,466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,568.14 : 279,549.67 = 111,929.97 : x
  2. Step 2: Convert to fraction form
    202,568.14/279,549.67 = 111,929.97/x
  3. Step 3: Cross multiply
    202,568.14x = 279,549.67 × 111,929.97
  4. Step 4: Simplify right side
    202,568.14x = 31,289,986,420.94
  5. Step 5: Solve for x
    x = 31,289,986,420.94/202,568.14
  6. Step 6: Final answer
    x = 154,466.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.