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Finding the Fourth Proportional to 199,676.40, 275,564.68 and 109,040.80

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Solution

The fourth proportional to 199,676.40, 275,564.68 and 109,040.80 is: 150,482.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,676.40 : 275,564.68 = 109,040.80 : x
  2. Step 2: Convert to fraction form
    199,676.40/275,564.68 = 109,040.80/x
  3. Step 3: Cross multiply
    199,676.40x = 275,564.68 × 109,040.80
  4. Step 4: Simplify right side
    199,676.40x = 30,047,793,158.94
  5. Step 5: Solve for x
    x = 30,047,793,158.94/199,676.40
  6. Step 6: Final answer
    x = 150,482.45

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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.