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Finding the Fourth Proportional to 100,218.81, 150,328.37 and 41,096.00

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Solution

The fourth proportional to 100,218.81, 150,328.37 and 41,096.00 is: 61,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,218.81 : 150,328.37 = 41,096.00 : x
  2. Step 2: Convert to fraction form
    100,218.81/150,328.37 = 41,096.00/x
  3. Step 3: Cross multiply
    100,218.81x = 150,328.37 × 41,096.00
  4. Step 4: Simplify right side
    100,218.81x = 6,177,894,863.86
  5. Step 5: Solve for x
    x = 6,177,894,863.86/100,218.81
  6. Step 6: Final answer
    x = 61,644.07

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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.