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Finding the Fourth Proportional to 202,674.48, 279,662.16 and 115,461.90

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Solution

The fourth proportional to 202,674.48, 279,662.16 and 115,461.90 is: 159,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,674.48 : 279,662.16 = 115,461.90 : x
  2. Step 2: Convert to fraction form
    202,674.48/279,662.16 = 115,461.90/x
  3. Step 3: Cross multiply
    202,674.48x = 279,662.16 × 115,461.90
  4. Step 4: Simplify right side
    202,674.48x = 32,290,324,351.70
  5. Step 5: Solve for x
    x = 32,290,324,351.70/202,674.48
  6. Step 6: Final answer
    x = 159,321.12

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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.