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Finding the Fourth Proportional to 184,810.92, 255,078.60 and 116,784.60

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Solution

The fourth proportional to 184,810.92, 255,078.60 and 116,784.60 is: 161,187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,810.92 : 255,078.60 = 116,784.60 : x
  2. Step 2: Convert to fraction form
    184,810.92/255,078.60 = 116,784.60/x
  3. Step 3: Cross multiply
    184,810.92x = 255,078.60 × 116,784.60
  4. Step 4: Simplify right side
    184,810.92x = 29,789,252,269.56
  5. Step 5: Solve for x
    x = 29,789,252,269.56/184,810.92
  6. Step 6: Final answer
    x = 161,187.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.