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Finding the Fourth Proportional to 182,884.68, 274,299.31 and 49,775.31

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Solution

The fourth proportional to 182,884.68, 274,299.31 and 49,775.31 is: 74,655.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,884.68 : 274,299.31 = 49,775.31 : x
  2. Step 2: Convert to fraction form
    182,884.68/274,299.31 = 49,775.31/x
  3. Step 3: Cross multiply
    182,884.68x = 274,299.31 × 49,775.31
  4. Step 4: Simplify right side
    182,884.68x = 13,653,333,063.60
  5. Step 5: Solve for x
    x = 13,653,333,063.60/182,884.68
  6. Step 6: Final answer
    x = 74,655.42

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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.