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Finding the Fourth Proportional to 199,783.29, 275,696.33 and 109,139.63

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Solution

The fourth proportional to 199,783.29, 275,696.33 and 109,139.63 is: 150,610.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,783.29 : 275,696.33 = 109,139.63 : x
  2. Step 2: Convert to fraction form
    199,783.29/275,696.33 = 109,139.63/x
  3. Step 3: Cross multiply
    199,783.29x = 275,696.33 × 109,139.63
  4. Step 4: Simplify right side
    199,783.29x = 30,089,393,524.38
  5. Step 5: Solve for x
    x = 30,089,393,524.38/199,783.29
  6. Step 6: Final answer
    x = 150,610.16

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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.