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Finding the Fourth Proportional to 184,912, 277,321.60 and 51,757.76

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Solution

The fourth proportional to 184,912, 277,321.60 and 51,757.76 is: 77,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,912 : 277,321.60 = 51,757.76 : x
  2. Step 2: Convert to fraction form
    184,912/277,321.60 = 51,757.76/x
  3. Step 3: Cross multiply
    184,912x = 277,321.60 × 51,757.76
  4. Step 4: Simplify right side
    184,912x = 14,353,544,815.62
  5. Step 5: Solve for x
    x = 14,353,544,815.62/184,912
  6. Step 6: Final answer
    x = 77,623.65

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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.