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Finding the Fourth Proportional to 255,958.26, 353,151.54 and 165,318.05

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Solution

The fourth proportional to 255,958.26, 353,151.54 and 165,318.05 is: 228,093.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,958.26 : 353,151.54 = 165,318.05 : x
  2. Step 2: Convert to fraction form
    255,958.26/353,151.54 = 165,318.05/x
  3. Step 3: Cross multiply
    255,958.26x = 353,151.54 × 165,318.05
  4. Step 4: Simplify right side
    255,958.26x = 58,382,322,181.54
  5. Step 5: Solve for x
    x = 58,382,322,181.54/255,958.26
  6. Step 6: Final answer
    x = 228,093.14

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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.