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Finding the Fourth Proportional to 342,058.27, 472,037.22 and 189,100.41

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Solution

The fourth proportional to 342,058.27, 472,037.22 and 189,100.41 is: 260,956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,058.27 : 472,037.22 = 189,100.41 : x
  2. Step 2: Convert to fraction form
    342,058.27/472,037.22 = 189,100.41/x
  3. Step 3: Cross multiply
    342,058.27x = 472,037.22 × 189,100.41
  4. Step 4: Simplify right side
    342,058.27x = 89,262,431,837.26
  5. Step 5: Solve for x
    x = 89,262,431,837.26/342,058.27
  6. Step 6: Final answer
    x = 260,956.80

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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.