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Finding the Fourth Proportional to 297,620.82, 446,428.78 and 120,125.12

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Solution

The fourth proportional to 297,620.82, 446,428.78 and 120,125.12 is: 180,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,620.82 : 446,428.78 = 120,125.12 : x
  2. Step 2: Convert to fraction form
    297,620.82/446,428.78 = 120,125.12/x
  3. Step 3: Cross multiply
    297,620.82x = 446,428.78 × 120,125.12
  4. Step 4: Simplify right side
    297,620.82x = 53,627,308,236.50
  5. Step 5: Solve for x
    x = 53,627,308,236.50/297,620.82
  6. Step 6: Final answer
    x = 180,186.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.