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Finding the Fourth Proportional to 233,906.93, 322,791.75 and 126,477.03

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Solution

The fourth proportional to 233,906.93, 322,791.75 and 126,477.03 is: 174,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,906.93 : 322,791.75 = 126,477.03 : x
  2. Step 2: Convert to fraction form
    233,906.93/322,791.75 = 126,477.03/x
  3. Step 3: Cross multiply
    233,906.93x = 322,791.75 × 126,477.03
  4. Step 4: Simplify right side
    233,906.93x = 40,825,741,848.50
  5. Step 5: Solve for x
    x = 40,825,741,848.50/233,906.93
  6. Step 6: Final answer
    x = 174,538.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.