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Finding the Fourth Proportional to 174,903, 262,398.78 and 50,244

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Solution

The fourth proportional to 174,903, 262,398.78 and 50,244 is: 75,378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,903 : 262,398.78 = 50,244 : x
  2. Step 2: Convert to fraction form
    174,903/262,398.78 = 50,244/x
  3. Step 3: Cross multiply
    174,903x = 262,398.78 × 50,244
  4. Step 4: Simplify right side
    174,903x = 13,183,964,302.32
  5. Step 5: Solve for x
    x = 13,183,964,302.32/174,903
  6. Step 6: Final answer
    x = 75,378.72

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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.