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Finding the Fourth Proportional to 182,980.82, 274,443.21 and 49,871.80

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Solution

The fourth proportional to 182,980.82, 274,443.21 and 49,871.80 is: 74,800.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,980.82 : 274,443.21 = 49,871.80 : x
  2. Step 2: Convert to fraction form
    182,980.82/274,443.21 = 49,871.80/x
  3. Step 3: Cross multiply
    182,980.82x = 274,443.21 × 49,871.80
  4. Step 4: Simplify right side
    182,980.82x = 13,686,977,363.80
  5. Step 5: Solve for x
    x = 13,686,977,363.80/182,980.82
  6. Step 6: Final answer
    x = 74,800.06

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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.