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Finding the Fourth Proportional to 269,092.88, 371,329 and 160,191.44

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Solution

The fourth proportional to 269,092.88, 371,329 and 160,191.44 is: 221,052.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,092.88 : 371,329 = 160,191.44 : x
  2. Step 2: Convert to fraction form
    269,092.88/371,329 = 160,191.44/x
  3. Step 3: Cross multiply
    269,092.88x = 371,329 × 160,191.44
  4. Step 4: Simplify right side
    269,092.88x = 59,483,727,223.76
  5. Step 5: Solve for x
    x = 59,483,727,223.76/269,092.88
  6. Step 6: Final answer
    x = 221,052.77

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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.