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Finding the Fourth Proportional to 120,681.57, 181,745.03 and 109,907.75

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Solution

The fourth proportional to 120,681.57, 181,745.03 and 109,907.75 is: 165,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,681.57 : 181,745.03 = 109,907.75 : x
  2. Step 2: Convert to fraction form
    120,681.57/181,745.03 = 109,907.75/x
  3. Step 3: Cross multiply
    120,681.57x = 181,745.03 × 109,907.75
  4. Step 4: Simplify right side
    120,681.57x = 19,975,188,124.05
  5. Step 5: Solve for x
    x = 19,975,188,124.05/120,681.57
  6. Step 6: Final answer
    x = 165,519.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.