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Finding the Fourth Proportional to 182,678.70, 274,045.38 and 56,308.44

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Solution

The fourth proportional to 182,678.70, 274,045.38 and 56,308.44 is: 84,471.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,678.70 : 274,045.38 = 56,308.44 : x
  2. Step 2: Convert to fraction form
    182,678.70/274,045.38 = 56,308.44/x
  3. Step 3: Cross multiply
    182,678.70x = 274,045.38 × 56,308.44
  4. Step 4: Simplify right side
    182,678.70x = 15,431,067,837.01
  5. Step 5: Solve for x
    x = 15,431,067,837.01/182,678.70
  6. Step 6: Final answer
    x = 84,471.08

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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.