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Finding the Fourth Proportional to 269,294.48, 371,627.12 and 161,926

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Solution

The fourth proportional to 269,294.48, 371,627.12 and 161,926 is: 223,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,294.48 : 371,627.12 = 161,926 : x
  2. Step 2: Convert to fraction form
    269,294.48/371,627.12 = 161,926/x
  3. Step 3: Cross multiply
    269,294.48x = 371,627.12 × 161,926
  4. Step 4: Simplify right side
    269,294.48x = 60,176,093,033.12
  5. Step 5: Solve for x
    x = 60,176,093,033.12/269,294.48
  6. Step 6: Final answer
    x = 223,458.32

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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.