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Finding the Fourth Proportional to 297,693.81, 446,555.30 and 120,178.67

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Solution

The fourth proportional to 297,693.81, 446,555.30 and 120,178.67 is: 180,273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,693.81 : 446,555.30 = 120,178.67 : x
  2. Step 2: Convert to fraction form
    297,693.81/446,555.30 = 120,178.67/x
  3. Step 3: Cross multiply
    297,693.81x = 446,555.30 × 120,178.67
  4. Step 4: Simplify right side
    297,693.81x = 53,666,419,201.78
  5. Step 5: Solve for x
    x = 53,666,419,201.78/297,693.81
  6. Step 6: Final answer
    x = 180,273.88

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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.