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Finding the Fourth Proportional to 120,102.39, 180,092.34 and 40,111.56

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Solution

The fourth proportional to 120,102.39, 180,092.34 and 40,111.56 is: 60,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,102.39 : 180,092.34 = 40,111.56 : x
  2. Step 2: Convert to fraction form
    120,102.39/180,092.34 = 40,111.56/x
  3. Step 3: Cross multiply
    120,102.39x = 180,092.34 × 40,111.56
  4. Step 4: Simplify right side
    120,102.39x = 7,223,784,701.45
  5. Step 5: Solve for x
    x = 7,223,784,701.45/120,102.39
  6. Step 6: Final answer
    x = 60,146.89

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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.