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Finding the Fourth Proportional to 120,090.36, 180,148.50 and 49,930.68

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Solution

The fourth proportional to 120,090.36, 180,148.50 and 49,930.68 is: 74,901.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,090.36 : 180,148.50 = 49,930.68 : x
  2. Step 2: Convert to fraction form
    120,090.36/180,148.50 = 49,930.68/x
  3. Step 3: Cross multiply
    120,090.36x = 180,148.50 × 49,930.68
  4. Step 4: Simplify right side
    120,090.36x = 8,994,937,105.98
  5. Step 5: Solve for x
    x = 8,994,937,105.98/120,090.36
  6. Step 6: Final answer
    x = 74,901.41

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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.