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Finding the Fourth Proportional to 233,679.74, 322,477.64 and 126,249.44

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Solution

The fourth proportional to 233,679.74, 322,477.64 and 126,249.44 is: 174,224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,679.74 : 322,477.64 = 126,249.44 : x
  2. Step 2: Convert to fraction form
    233,679.74/322,477.64 = 126,249.44/x
  3. Step 3: Cross multiply
    233,679.74x = 322,477.64 × 126,249.44
  4. Step 4: Simplify right side
    233,679.74x = 40,712,621,462.52
  5. Step 5: Solve for x
    x = 40,712,621,462.52/233,679.74
  6. Step 6: Final answer
    x = 174,224.01

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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.