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Finding the Fourth Proportional to 243,082.10, 364,513.80 and 109,893.80

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Solution

The fourth proportional to 243,082.10, 364,513.80 and 109,893.80 is: 164,791.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,082.10 : 364,513.80 = 109,893.80 : x
  2. Step 2: Convert to fraction form
    243,082.10/364,513.80 = 109,893.80/x
  3. Step 3: Cross multiply
    243,082.10x = 364,513.80 × 109,893.80
  4. Step 4: Simplify right side
    243,082.10x = 40,057,806,634.44
  5. Step 5: Solve for x
    x = 40,057,806,634.44/243,082.10
  6. Step 6: Final answer
    x = 164,791.26

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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.