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Finding the Fourth Proportional to 184,283.88, 276,297.56 and 81,645.47

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Solution

The fourth proportional to 184,283.88, 276,297.56 and 81,645.47 is: 122,411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,283.88 : 276,297.56 = 81,645.47 : x
  2. Step 2: Convert to fraction form
    184,283.88/276,297.56 = 81,645.47/x
  3. Step 3: Cross multiply
    184,283.88x = 276,297.56 × 81,645.47
  4. Step 4: Simplify right side
    184,283.88x = 22,558,444,146.05
  5. Step 5: Solve for x
    x = 22,558,444,146.05/184,283.88
  6. Step 6: Final answer
    x = 122,411.38

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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.