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Finding the Fourth Proportional to 122,683.52, 184,064.16 and 43,796

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Solution

The fourth proportional to 122,683.52, 184,064.16 and 43,796 is: 65,707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,683.52 : 184,064.16 = 43,796 : x
  2. Step 2: Convert to fraction form
    122,683.52/184,064.16 = 43,796/x
  3. Step 3: Cross multiply
    122,683.52x = 184,064.16 × 43,796
  4. Step 4: Simplify right side
    122,683.52x = 8,061,273,951.36
  5. Step 5: Solve for x
    x = 8,061,273,951.36/122,683.52
  6. Step 6: Final answer
    x = 65,707.88

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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.