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Finding the Fourth Proportional to 254,234.20, 381,740.10 and 149,258.20

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Solution

The fourth proportional to 254,234.20, 381,740.10 and 149,258.20 is: 224,115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,234.20 : 381,740.10 = 149,258.20 : x
  2. Step 2: Convert to fraction form
    254,234.20/381,740.10 = 149,258.20/x
  3. Step 3: Cross multiply
    254,234.20x = 381,740.10 × 149,258.20
  4. Step 4: Simplify right side
    254,234.20x = 56,977,840,193.82
  5. Step 5: Solve for x
    x = 56,977,840,193.82/254,234.20
  6. Step 6: Final answer
    x = 224,115.56

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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.