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Finding the Fourth Proportional to 183,423.96, 274,899.09 and 82,148.01

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Solution

The fourth proportional to 183,423.96, 274,899.09 and 82,148.01 is: 123,115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,423.96 : 274,899.09 = 82,148.01 : x
  2. Step 2: Convert to fraction form
    183,423.96/274,899.09 = 82,148.01/x
  3. Step 3: Cross multiply
    183,423.96x = 274,899.09 × 82,148.01
  4. Step 4: Simplify right side
    183,423.96x = 22,582,413,194.31
  5. Step 5: Solve for x
    x = 22,582,413,194.31/183,423.96
  6. Step 6: Final answer
    x = 123,115.94

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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.