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Finding the Fourth Proportional to 218,836.22, 301,975.90 and 123,366.38

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Solution

The fourth proportional to 218,836.22, 301,975.90 and 123,366.38 is: 170,235.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,836.22 : 301,975.90 = 123,366.38 : x
  2. Step 2: Convert to fraction form
    218,836.22/301,975.90 = 123,366.38/x
  3. Step 3: Cross multiply
    218,836.22x = 301,975.90 × 123,366.38
  4. Step 4: Simplify right side
    218,836.22x = 37,253,671,811.95
  5. Step 5: Solve for x
    x = 37,253,671,811.95/218,836.22
  6. Step 6: Final answer
    x = 170,235.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.