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Finding the Fourth Proportional to 196,062.39, 294,093.54 and 55,821

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Solution

The fourth proportional to 196,062.39, 294,093.54 and 55,821 is: 83,731.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,062.39 : 294,093.54 = 55,821 : x
  2. Step 2: Convert to fraction form
    196,062.39/294,093.54 = 55,821/x
  3. Step 3: Cross multiply
    196,062.39x = 294,093.54 × 55,821
  4. Step 4: Simplify right side
    196,062.39x = 16,416,595,496.34
  5. Step 5: Solve for x
    x = 16,416,595,496.34/196,062.39
  6. Step 6: Final answer
    x = 83,731.49

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1.5x scale

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.