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Finding the Fourth Proportional to 120,220.47, 180,347.11 and 50,083.38

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Solution

The fourth proportional to 120,220.47, 180,347.11 and 50,083.38 is: 75,131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,220.47 : 180,347.11 = 50,083.38 : x
  2. Step 2: Convert to fraction form
    120,220.47/180,347.11 = 50,083.38/x
  3. Step 3: Cross multiply
    120,220.47x = 180,347.11 × 50,083.38
  4. Step 4: Simplify right side
    120,220.47x = 9,032,392,842.03
  5. Step 5: Solve for x
    x = 9,032,392,842.03/120,220.47
  6. Step 6: Final answer
    x = 75,131.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.