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Finding the Fourth Proportional to 182,093.40, 273,075.30 and 82,301.40

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Solution

The fourth proportional to 182,093.40, 273,075.30 and 82,301.40 is: 123,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,093.40 : 273,075.30 = 82,301.40 : x
  2. Step 2: Convert to fraction form
    182,093.40/273,075.30 = 82,301.40/x
  3. Step 3: Cross multiply
    182,093.40x = 273,075.30 × 82,301.40
  4. Step 4: Simplify right side
    182,093.40x = 22,474,479,495.42
  5. Step 5: Solve for x
    x = 22,474,479,495.42/182,093.40
  6. Step 6: Final answer
    x = 123,422.81

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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.