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Finding the Fourth Proportional to 120,124.14, 180,202.74 and 41,228.11

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Solution

The fourth proportional to 120,124.14, 180,202.74 and 41,228.11 is: 61,847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,124.14 : 180,202.74 = 41,228.11 : x
  2. Step 2: Convert to fraction form
    120,124.14/180,202.74 = 41,228.11/x
  3. Step 3: Cross multiply
    120,124.14x = 180,202.74 × 41,228.11
  4. Step 4: Simplify right side
    120,124.14x = 7,429,418,387.02
  5. Step 5: Solve for x
    x = 7,429,418,387.02/120,124.14
  6. Step 6: Final answer
    x = 61,847.84

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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.