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Finding the Fourth Proportional to 184,874.88, 277,144.32 and 96,024.32

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Solution

The fourth proportional to 184,874.88, 277,144.32 and 96,024.32 is: 143,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,874.88 : 277,144.32 = 96,024.32 : x
  2. Step 2: Convert to fraction form
    184,874.88/277,144.32 = 96,024.32/x
  3. Step 3: Cross multiply
    184,874.88x = 277,144.32 × 96,024.32
  4. Step 4: Simplify right side
    184,874.88x = 26,612,594,869.86
  5. Step 5: Solve for x
    x = 26,612,594,869.86/184,874.88
  6. Step 6: Final answer
    x = 143,949.22

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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.