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Finding the Fourth Proportional to 255,887.74, 384,164.24 and 196,764.94

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Solution

The fourth proportional to 255,887.74, 384,164.24 and 196,764.94 is: 295,403.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,887.74 : 384,164.24 = 196,764.94 : x
  2. Step 2: Convert to fraction form
    255,887.74/384,164.24 = 196,764.94/x
  3. Step 3: Cross multiply
    255,887.74x = 384,164.24 × 196,764.94
  4. Step 4: Simplify right side
    255,887.74x = 75,590,053,633.75
  5. Step 5: Solve for x
    x = 75,590,053,633.75/255,887.74
  6. Step 6: Final answer
    x = 295,403.19

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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.