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Finding the Fourth Proportional to 242,953.22, 364,273.74 and 100,896.48

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Solution

The fourth proportional to 242,953.22, 364,273.74 and 100,896.48 is: 151,279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,953.22 : 364,273.74 = 100,896.48 : x
  2. Step 2: Convert to fraction form
    242,953.22/364,273.74 = 100,896.48/x
  3. Step 3: Cross multiply
    242,953.22x = 364,273.74 × 100,896.48
  4. Step 4: Simplify right side
    242,953.22x = 36,753,938,122.44
  5. Step 5: Solve for x
    x = 36,753,938,122.44/242,953.22
  6. Step 6: Final answer
    x = 151,279.90

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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.