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Finding the Fourth Proportional to 196,243.89, 294,409.71 and 71,584.89

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Solution

The fourth proportional to 196,243.89, 294,409.71 and 71,584.89 is: 107,393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,243.89 : 294,409.71 = 71,584.89 : x
  2. Step 2: Convert to fraction form
    196,243.89/294,409.71 = 71,584.89/x
  3. Step 3: Cross multiply
    196,243.89x = 294,409.71 × 71,584.89
  4. Step 4: Simplify right side
    196,243.89x = 21,075,286,705.28
  5. Step 5: Solve for x
    x = 21,075,286,705.28/196,243.89
  6. Step 6: Final answer
    x = 107,393.34

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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.