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Finding the Fourth Proportional to 242,896.92, 364,469.28 and 163,845.48

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Solution

The fourth proportional to 242,896.92, 364,469.28 and 163,845.48 is: 245,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,896.92 : 364,469.28 = 163,845.48 : x
  2. Step 2: Convert to fraction form
    242,896.92/364,469.28 = 163,845.48/x
  3. Step 3: Cross multiply
    242,896.92x = 364,469.28 × 163,845.48
  4. Step 4: Simplify right side
    242,896.92x = 59,716,644,126.85
  5. Step 5: Solve for x
    x = 59,716,644,126.85/242,896.92
  6. Step 6: Final answer
    x = 245,851.80

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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.