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Finding the Fourth Proportional to 122,797, 184,195.50 and 48,976.84

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Solution

The fourth proportional to 122,797, 184,195.50 and 48,976.84 is: 73,465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,797 : 184,195.50 = 48,976.84 : x
  2. Step 2: Convert to fraction form
    122,797/184,195.50 = 48,976.84/x
  3. Step 3: Cross multiply
    122,797x = 184,195.50 × 48,976.84
  4. Step 4: Simplify right side
    122,797x = 9,021,313,532.22
  5. Step 5: Solve for x
    x = 9,021,313,532.22/122,797
  6. Step 6: Final answer
    x = 73,465.26

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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.