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Finding the Fourth Proportional to 281,151.75, 421,728.03 and 114,939.75

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Solution

The fourth proportional to 281,151.75, 421,728.03 and 114,939.75 is: 172,409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,151.75 : 421,728.03 = 114,939.75 : x
  2. Step 2: Convert to fraction form
    281,151.75/421,728.03 = 114,939.75/x
  3. Step 3: Cross multiply
    281,151.75x = 421,728.03 × 114,939.75
  4. Step 4: Simplify right side
    281,151.75x = 48,473,314,336.19
  5. Step 5: Solve for x
    x = 48,473,314,336.19/281,151.75
  6. Step 6: Final answer
    x = 172,409.79

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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.