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Finding the Fourth Proportional to 199,684, 275,564.39 and 109,040.14

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Solution

The fourth proportional to 199,684, 275,564.39 and 109,040.14 is: 150,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,684 : 275,564.39 = 109,040.14 : x
  2. Step 2: Convert to fraction form
    199,684/275,564.39 = 109,040.14/x
  3. Step 3: Cross multiply
    199,684x = 275,564.39 × 109,040.14
  4. Step 4: Simplify right side
    199,684x = 30,047,579,664.61
  5. Step 5: Solve for x
    x = 30,047,579,664.61/199,684
  6. Step 6: Final answer
    x = 150,475.65

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