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Finding the Fourth Proportional to 263,803.58, 364,066.80 and 149,042.42

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Solution

The fourth proportional to 263,803.58, 364,066.80 and 149,042.42 is: 205,688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,803.58 : 364,066.80 = 149,042.42 : x
  2. Step 2: Convert to fraction form
    263,803.58/364,066.80 = 149,042.42/x
  3. Step 3: Cross multiply
    263,803.58x = 364,066.80 × 149,042.42
  4. Step 4: Simplify right side
    263,803.58x = 54,261,396,913.66
  5. Step 5: Solve for x
    x = 54,261,396,913.66/263,803.58
  6. Step 6: Final answer
    x = 205,688.63

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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.