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Finding the Fourth Proportional to 225,857.75, 338,770.78 and 105,941.01

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Solution

The fourth proportional to 225,857.75, 338,770.78 and 105,941.01 is: 158,904.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,857.75 : 338,770.78 = 105,941.01 : x
  2. Step 2: Convert to fraction form
    225,857.75/338,770.78 = 105,941.01/x
  3. Step 3: Cross multiply
    225,857.75x = 338,770.78 × 105,941.01
  4. Step 4: Simplify right side
    225,857.75x = 35,889,718,061.98
  5. Step 5: Solve for x
    x = 35,889,718,061.98/225,857.75
  6. Step 6: Final answer
    x = 158,904.08

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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.