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Finding the Fourth Proportional to 120,944.54, 180,396.34 and 105,024.38

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Solution

The fourth proportional to 120,944.54, 180,396.34 and 105,024.38 is: 156,650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,944.54 : 180,396.34 = 105,024.38 : x
  2. Step 2: Convert to fraction form
    120,944.54/180,396.34 = 105,024.38/x
  3. Step 3: Cross multiply
    120,944.54x = 180,396.34 × 105,024.38
  4. Step 4: Simplify right side
    120,944.54x = 18,946,013,762.77
  5. Step 5: Solve for x
    x = 18,946,013,762.77/120,944.54
  6. Step 6: Final answer
    x = 156,650.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.