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Finding the Fourth Proportional to 263,798.42, 364,060.29 and 149,087.66

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Solution

The fourth proportional to 263,798.42, 364,060.29 and 149,087.66 is: 205,751.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,798.42 : 364,060.29 = 149,087.66 : x
  2. Step 2: Convert to fraction form
    263,798.42/364,060.29 = 149,087.66/x
  3. Step 3: Cross multiply
    263,798.42x = 364,060.29 × 149,087.66
  4. Step 4: Simplify right side
    263,798.42x = 54,276,898,545.56
  5. Step 5: Solve for x
    x = 54,276,898,545.56/263,798.42
  6. Step 6: Final answer
    x = 205,751.42

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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.