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Finding the Fourth Proportional to 254,234.34, 381,354.21 and 76,742.82

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Solution

The fourth proportional to 254,234.34, 381,354.21 and 76,742.82 is: 115,115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,234.34 : 381,354.21 = 76,742.82 : x
  2. Step 2: Convert to fraction form
    254,234.34/381,354.21 = 76,742.82/x
  3. Step 3: Cross multiply
    254,234.34x = 381,354.21 × 76,742.82
  4. Step 4: Simplify right side
    254,234.34x = 29,266,197,494.27
  5. Step 5: Solve for x
    x = 29,266,197,494.27/254,234.34
  6. Step 6: Final answer
    x = 115,115.05

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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.