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Finding the Fourth Proportional to 201,645.92, 278,287.44 and 116,764.48

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Solution

The fourth proportional to 201,645.92, 278,287.44 and 116,764.48 is: 161,144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,645.92 : 278,287.44 = 116,764.48 : x
  2. Step 2: Convert to fraction form
    201,645.92/278,287.44 = 116,764.48/x
  3. Step 3: Cross multiply
    201,645.92x = 278,287.44 × 116,764.48
  4. Step 4: Simplify right side
    201,645.92x = 32,494,088,222.13
  5. Step 5: Solve for x
    x = 32,494,088,222.13/201,645.92
  6. Step 6: Final answer
    x = 161,144.29

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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.