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Finding the Fourth Proportional to 184,962.96, 277,491.42 and 51,843.78

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Solution

The fourth proportional to 184,962.96, 277,491.42 and 51,843.78 is: 77,778.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,962.96 : 277,491.42 = 51,843.78 : x
  2. Step 2: Convert to fraction form
    184,962.96/277,491.42 = 51,843.78/x
  3. Step 3: Cross multiply
    184,962.96x = 277,491.42 × 51,843.78
  4. Step 4: Simplify right side
    184,962.96x = 14,386,204,130.37
  5. Step 5: Solve for x
    x = 14,386,204,130.37/184,962.96
  6. Step 6: Final answer
    x = 77,778.84

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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.