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Finding the Fourth Proportional to 201,951.44, 302,592.24 and 122,826.32

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Solution

The fourth proportional to 201,951.44, 302,592.24 and 122,826.32 is: 184,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,951.44 : 302,592.24 = 122,826.32 : x
  2. Step 2: Convert to fraction form
    201,951.44/302,592.24 = 122,826.32/x
  3. Step 3: Cross multiply
    201,951.44x = 302,592.24 × 122,826.32
  4. Step 4: Simplify right side
    201,951.44x = 37,166,291,299.76
  5. Step 5: Solve for x
    x = 37,166,291,299.76/201,951.44
  6. Step 6: Final answer
    x = 184,035.78

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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.