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Finding the Fourth Proportional to 263,873.64, 394,876.13 and 164,080.83

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Solution

The fourth proportional to 263,873.64, 394,876.13 and 164,080.83 is: 245,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,873.64 : 394,876.13 = 164,080.83 : x
  2. Step 2: Convert to fraction form
    263,873.64/394,876.13 = 164,080.83/x
  3. Step 3: Cross multiply
    263,873.64x = 394,876.13 × 164,080.83
  4. Step 4: Simplify right side
    263,873.64x = 64,791,602,337.18
  5. Step 5: Solve for x
    x = 64,791,602,337.18/263,873.64
  6. Step 6: Final answer
    x = 245,540.26

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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.