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Finding the Fourth Proportional to 120,190.69, 165,753.41 and 103,189.49

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Solution

The fourth proportional to 120,190.69, 165,753.41 and 103,189.49 is: 142,307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,190.69 : 165,753.41 = 103,189.49 : x
  2. Step 2: Convert to fraction form
    120,190.69/165,753.41 = 103,189.49/x
  3. Step 3: Cross multiply
    120,190.69x = 165,753.41 × 103,189.49
  4. Step 4: Simplify right side
    120,190.69x = 17,104,010,923.55
  5. Step 5: Solve for x
    x = 17,104,010,923.55/120,190.69
  6. Step 6: Final answer
    x = 142,307.29

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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.