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Finding the Fourth Proportional to 120,270.86, 180,477.56 and 67,007.42

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Solution

The fourth proportional to 120,270.86, 180,477.56 and 67,007.42 is: 100,550.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,270.86 : 180,477.56 = 67,007.42 : x
  2. Step 2: Convert to fraction form
    120,270.86/180,477.56 = 67,007.42/x
  3. Step 3: Cross multiply
    120,270.86x = 180,477.56 × 67,007.42
  4. Step 4: Simplify right side
    120,270.86x = 12,093,335,663.50
  5. Step 5: Solve for x
    x = 12,093,335,663.50/120,270.86
  6. Step 6: Final answer
    x = 100,550.84

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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.