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Finding the Fourth Proportional to 184,879.88, 277,254.94 and 51,724.36

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Solution

The fourth proportional to 184,879.88, 277,254.94 and 51,724.36 is: 77,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,879.88 : 277,254.94 = 51,724.36 : x
  2. Step 2: Convert to fraction form
    184,879.88/277,254.94 = 51,724.36/x
  3. Step 3: Cross multiply
    184,879.88x = 277,254.94 × 51,724.36
  4. Step 4: Simplify right side
    184,879.88x = 14,340,834,328.34
  5. Step 5: Solve for x
    x = 14,340,834,328.34/184,879.88
  6. Step 6: Final answer
    x = 77,568.39

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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.