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Finding the Fourth Proportional to 196,242.39, 294,407.46 and 71,583.39

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Solution

The fourth proportional to 196,242.39, 294,407.46 and 71,583.39 is: 107,391.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,242.39 : 294,407.46 = 71,583.39 : x
  2. Step 2: Convert to fraction form
    196,242.39/294,407.46 = 71,583.39/x
  3. Step 3: Cross multiply
    196,242.39x = 294,407.46 × 71,583.39
  4. Step 4: Simplify right side
    196,242.39x = 21,074,684,028.09
  5. Step 5: Solve for x
    x = 21,074,684,028.09/196,242.39
  6. Step 6: Final answer
    x = 107,391.09

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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.