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Finding the Fourth Proportional to 255,891.72, 353,318.22 and 165,300.60

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Solution

The fourth proportional to 255,891.72, 353,318.22 and 165,300.60 is: 228,236.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,891.72 : 353,318.22 = 165,300.60 : x
  2. Step 2: Convert to fraction form
    255,891.72/353,318.22 = 165,300.60/x
  3. Step 3: Cross multiply
    255,891.72x = 353,318.22 × 165,300.60
  4. Step 4: Simplify right side
    255,891.72x = 58,403,713,756.93
  5. Step 5: Solve for x
    x = 58,403,713,756.93/255,891.72
  6. Step 6: Final answer
    x = 228,236.04

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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.