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Finding the Fourth Proportional to 196,762.23, 294,968.03 and 72,074.07

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Solution

The fourth proportional to 196,762.23, 294,968.03 and 72,074.07 is: 108,046.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,762.23 : 294,968.03 = 72,074.07 : x
  2. Step 2: Convert to fraction form
    196,762.23/294,968.03 = 72,074.07/x
  3. Step 3: Cross multiply
    196,762.23x = 294,968.03 × 72,074.07
  4. Step 4: Simplify right side
    196,762.23x = 21,259,546,081.61
  5. Step 5: Solve for x
    x = 21,259,546,081.61/196,762.23
  6. Step 6: Final answer
    x = 108,046.89

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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.