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Finding the Fourth Proportional to 196,102, 294,196.74 and 71,443

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Solution

The fourth proportional to 196,102, 294,196.74 and 71,443 is: 107,180.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,102 : 294,196.74 = 71,443 : x
  2. Step 2: Convert to fraction form
    196,102/294,196.74 = 71,443/x
  3. Step 3: Cross multiply
    196,102x = 294,196.74 × 71,443
  4. Step 4: Simplify right side
    196,102x = 21,018,297,695.82
  5. Step 5: Solve for x
    x = 21,018,297,695.82/196,102
  6. Step 6: Final answer
    x = 107,180.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.