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Finding the Fourth Proportional to 184,991.31, 277,039.85 and 105,865.65

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Solution

The fourth proportional to 184,991.31, 277,039.85 and 105,865.65 is: 158,542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,991.31 : 277,039.85 = 105,865.65 : x
  2. Step 2: Convert to fraction form
    184,991.31/277,039.85 = 105,865.65/x
  3. Step 3: Cross multiply
    184,991.31x = 277,039.85 × 105,865.65
  4. Step 4: Simplify right side
    184,991.31x = 29,329,003,266.82
  5. Step 5: Solve for x
    x = 29,329,003,266.82/184,991.31
  6. Step 6: Final answer
    x = 158,542.60

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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.