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Finding the Fourth Proportional to 184,661.46, 277,021.80 and 78,046.46

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Solution

The fourth proportional to 184,661.46, 277,021.80 and 78,046.46 is: 117,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,661.46 : 277,021.80 = 78,046.46 : x
  2. Step 2: Convert to fraction form
    184,661.46/277,021.80 = 78,046.46/x
  3. Step 3: Cross multiply
    184,661.46x = 277,021.80 × 78,046.46
  4. Step 4: Simplify right side
    184,661.46x = 21,620,570,832.83
  5. Step 5: Solve for x
    x = 21,620,570,832.83/184,661.46
  6. Step 6: Final answer
    x = 117,082.20

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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.