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Finding the Fourth Proportional to 183,147.51, 274,724.91 and 83,238.06

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Solution

The fourth proportional to 183,147.51, 274,724.91 and 83,238.06 is: 124,858.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,147.51 : 274,724.91 = 83,238.06 : x
  2. Step 2: Convert to fraction form
    183,147.51/274,724.91 = 83,238.06/x
  3. Step 3: Cross multiply
    183,147.51x = 274,724.91 × 83,238.06
  4. Step 4: Simplify right side
    183,147.51x = 22,867,568,542.07
  5. Step 5: Solve for x
    x = 22,867,568,542.07/183,147.51
  6. Step 6: Final answer
    x = 124,858.75

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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.