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Finding the Fourth Proportional to 196,409.88, 294,608.97 and 54,263.67

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Solution

The fourth proportional to 196,409.88, 294,608.97 and 54,263.67 is: 81,393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,409.88 : 294,608.97 = 54,263.67 : x
  2. Step 2: Convert to fraction form
    196,409.88/294,608.97 = 54,263.67/x
  3. Step 3: Cross multiply
    196,409.88x = 294,608.97 × 54,263.67
  4. Step 4: Simplify right side
    196,409.88x = 15,986,563,927.12
  5. Step 5: Solve for x
    x = 15,986,563,927.12/196,409.88
  6. Step 6: Final answer
    x = 81,393.89

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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.