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Finding the Fourth Proportional to 330,119.68, 494,749.44 and 133,020.16

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Solution

The fourth proportional to 330,119.68, 494,749.44 and 133,020.16 is: 199,356.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,119.68 : 494,749.44 = 133,020.16 : x
  2. Step 2: Convert to fraction form
    330,119.68/494,749.44 = 133,020.16/x
  3. Step 3: Cross multiply
    330,119.68x = 494,749.44 × 133,020.16
  4. Step 4: Simplify right side
    330,119.68x = 65,811,649,668.71
  5. Step 5: Solve for x
    x = 65,811,649,668.71/330,119.68
  6. Step 6: Final answer
    x = 199,356.94

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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.