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Finding the Fourth Proportional to 196,447.64, 294,540.22 and 61,466

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Solution

The fourth proportional to 196,447.64, 294,540.22 and 61,466 is: 92,157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,447.64 : 294,540.22 = 61,466 : x
  2. Step 2: Convert to fraction form
    196,447.64/294,540.22 = 61,466/x
  3. Step 3: Cross multiply
    196,447.64x = 294,540.22 × 61,466
  4. Step 4: Simplify right side
    196,447.64x = 18,104,209,162.52
  5. Step 5: Solve for x
    x = 18,104,209,162.52/196,447.64
  6. Step 6: Final answer
    x = 92,157.94

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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.