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Finding the Fourth Proportional to 280,850.96, 421,234.92 and 103,316.46

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Solution

The fourth proportional to 280,850.96, 421,234.92 and 103,316.46 is: 154,959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,850.96 : 421,234.92 = 103,316.46 : x
  2. Step 2: Convert to fraction form
    280,850.96/421,234.92 = 103,316.46/x
  3. Step 3: Cross multiply
    280,850.96x = 421,234.92 × 103,316.46
  4. Step 4: Simplify right side
    280,850.96x = 43,520,498,795.72
  5. Step 5: Solve for x
    x = 43,520,498,795.72/280,850.96
  6. Step 6: Final answer
    x = 154,959.41

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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.