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Finding the Fourth Proportional to 251,984, 378,014.90 and 94,234.88

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Solution

The fourth proportional to 251,984, 378,014.90 and 94,234.88 is: 141,366.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,984 : 378,014.90 = 94,234.88 : x
  2. Step 2: Convert to fraction form
    251,984/378,014.90 = 94,234.88/x
  3. Step 3: Cross multiply
    251,984x = 378,014.90 × 94,234.88
  4. Step 4: Simplify right side
    251,984x = 35,622,188,739.71
  5. Step 5: Solve for x
    x = 35,622,188,739.71/251,984
  6. Step 6: Final answer
    x = 141,366.87

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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.