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Finding the Fourth Proportional to 196,466.63, 294,453.32 and 84,014.60

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Solution

The fourth proportional to 196,466.63, 294,453.32 and 84,014.60 is: 125,916.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,466.63 : 294,453.32 = 84,014.60 : x
  2. Step 2: Convert to fraction form
    196,466.63/294,453.32 = 84,014.60/x
  3. Step 3: Cross multiply
    196,466.63x = 294,453.32 × 84,014.60
  4. Step 4: Simplify right side
    196,466.63x = 24,738,376,006.13
  5. Step 5: Solve for x
    x = 24,738,376,006.13/196,466.63
  6. Step 6: Final answer
    x = 125,916.43

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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.