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Finding the Fourth Proportional to 184,745.76, 277,112.16 and 51,624.96

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Solution

The fourth proportional to 184,745.76, 277,112.16 and 51,624.96 is: 77,435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,745.76 : 277,112.16 = 51,624.96 : x
  2. Step 2: Convert to fraction form
    184,745.76/277,112.16 = 51,624.96/x
  3. Step 3: Cross multiply
    184,745.76x = 277,112.16 × 51,624.96
  4. Step 4: Simplify right side
    184,745.76x = 14,305,904,175.51
  5. Step 5: Solve for x
    x = 14,305,904,175.51/184,745.76
  6. Step 6: Final answer
    x = 77,435.63

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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.