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Finding the Fourth Proportional to 263,745.50, 363,961.21 and 154,848.02

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Solution

The fourth proportional to 263,745.50, 363,961.21 and 154,848.02 is: 213,685.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,745.50 : 363,961.21 = 154,848.02 : x
  2. Step 2: Convert to fraction form
    263,745.50/363,961.21 = 154,848.02/x
  3. Step 3: Cross multiply
    263,745.50x = 363,961.21 × 154,848.02
  4. Step 4: Simplify right side
    263,745.50x = 56,358,670,131.26
  5. Step 5: Solve for x
    x = 56,358,670,131.26/263,745.50
  6. Step 6: Final answer
    x = 213,685.81

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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.