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Finding the Fourth Proportional to 202,687.48, 279,734.37 and 117,788.14

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Solution

The fourth proportional to 202,687.48, 279,734.37 and 117,788.14 is: 162,562.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,687.48 : 279,734.37 = 117,788.14 : x
  2. Step 2: Convert to fraction form
    202,687.48/279,734.37 = 117,788.14/x
  3. Step 3: Cross multiply
    202,687.48x = 279,734.37 × 117,788.14
  4. Step 4: Simplify right side
    202,687.48x = 32,949,391,136.37
  5. Step 5: Solve for x
    x = 32,949,391,136.37/202,687.48
  6. Step 6: Final answer
    x = 162,562.54

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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.