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Finding the Fourth Proportional to 263,458.49, 395,261.72 and 105,797.66

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Solution

The fourth proportional to 263,458.49, 395,261.72 and 105,797.66 is: 158,726.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,458.49 : 395,261.72 = 105,797.66 : x
  2. Step 2: Convert to fraction form
    263,458.49/395,261.72 = 105,797.66/x
  3. Step 3: Cross multiply
    263,458.49x = 395,261.72 × 105,797.66
  4. Step 4: Simplify right side
    263,458.49x = 41,817,763,351.76
  5. Step 5: Solve for x
    x = 41,817,763,351.76/263,458.49
  6. Step 6: Final answer
    x = 158,726.20

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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.