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Finding the Fourth Proportional to 184,431.41, 276,684.41 and 77,815.63

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Solution

The fourth proportional to 184,431.41, 276,684.41 and 77,815.63 is: 116,739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,431.41 : 276,684.41 = 77,815.63 : x
  2. Step 2: Convert to fraction form
    184,431.41/276,684.41 = 77,815.63/x
  3. Step 3: Cross multiply
    184,431.41x = 276,684.41 × 77,815.63
  4. Step 4: Simplify right side
    184,431.41x = 21,530,370,594.54
  5. Step 5: Solve for x
    x = 21,530,370,594.54/184,431.41
  6. Step 6: Final answer
    x = 116,739.18

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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.