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Finding the Fourth Proportional to 231,257.70, 346,728.71 and 123,203.22

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Solution

The fourth proportional to 231,257.70, 346,728.71 and 123,203.22 is: 184,720.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,257.70 : 346,728.71 = 123,203.22 : x
  2. Step 2: Convert to fraction form
    231,257.70/346,728.71 = 123,203.22/x
  3. Step 3: Cross multiply
    231,257.70x = 346,728.71 × 123,203.22
  4. Step 4: Simplify right side
    231,257.70x = 42,718,092,922.43
  5. Step 5: Solve for x
    x = 42,718,092,922.43/231,257.70
  6. Step 6: Final answer
    x = 184,720.74

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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.