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Finding the Fourth Proportional to 199,783.40, 299,286.30 and 110,877.80

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Solution

The fourth proportional to 199,783.40, 299,286.30 and 110,877.80 is: 166,100.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,783.40 : 299,286.30 = 110,877.80 : x
  2. Step 2: Convert to fraction form
    199,783.40/299,286.30 = 110,877.80/x
  3. Step 3: Cross multiply
    199,783.40x = 299,286.30 × 110,877.80
  4. Step 4: Simplify right side
    199,783.40x = 33,184,206,514.14
  5. Step 5: Solve for x
    x = 33,184,206,514.14/199,783.40
  6. Step 6: Final answer
    x = 166,100.92

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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.