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Finding the Fourth Proportional to 184,389.54, 276,584.31 and 105,448.38

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Solution

The fourth proportional to 184,389.54, 276,584.31 and 105,448.38 is: 158,172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,389.54 : 276,584.31 = 105,448.38 : x
  2. Step 2: Convert to fraction form
    184,389.54/276,584.31 = 105,448.38/x
  3. Step 3: Cross multiply
    184,389.54x = 276,584.31 × 105,448.38
  4. Step 4: Simplify right side
    184,389.54x = 29,165,367,422.92
  5. Step 5: Solve for x
    x = 29,165,367,422.92/184,389.54
  6. Step 6: Final answer
    x = 158,172.57

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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.