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Finding the Fourth Proportional to 242,096.94, 363,203.73 and 75,884.94

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Solution

The fourth proportional to 242,096.94, 363,203.73 and 75,884.94 is: 113,845.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,096.94 : 363,203.73 = 75,884.94 : x
  2. Step 2: Convert to fraction form
    242,096.94/363,203.73 = 75,884.94/x
  3. Step 3: Cross multiply
    242,096.94x = 363,203.73 × 75,884.94
  4. Step 4: Simplify right side
    242,096.94x = 27,561,692,879.40
  5. Step 5: Solve for x
    x = 27,561,692,879.40/242,096.94
  6. Step 6: Final answer
    x = 113,845.69

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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.