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Finding the Fourth Proportional to 263,187.93, 363,194.82 and 148,466.82

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Solution

The fourth proportional to 263,187.93, 363,194.82 and 148,466.82 is: 204,881.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,187.93 : 363,194.82 = 148,466.82 : x
  2. Step 2: Convert to fraction form
    263,187.93/363,194.82 = 148,466.82/x
  3. Step 3: Cross multiply
    263,187.93x = 363,194.82 × 148,466.82
  4. Step 4: Simplify right side
    263,187.93x = 53,922,379,965.87
  5. Step 5: Solve for x
    x = 53,922,379,965.87/263,187.93
  6. Step 6: Final answer
    x = 204,881.66

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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.