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Finding the Fourth Proportional to 297,893.30, 411,100.65 and 161,936.42

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Solution

The fourth proportional to 297,893.30, 411,100.65 and 161,936.42 is: 223,476.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,893.30 : 411,100.65 = 161,936.42 : x
  2. Step 2: Convert to fraction form
    297,893.30/411,100.65 = 161,936.42/x
  3. Step 3: Cross multiply
    297,893.30x = 411,100.65 × 161,936.42
  4. Step 4: Simplify right side
    297,893.30x = 66,572,165,465.17
  5. Step 5: Solve for x
    x = 66,572,165,465.17/297,893.30
  6. Step 6: Final answer
    x = 223,476.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.