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Finding the Fourth Proportional to 97,266, 134,227.26 and 52,554

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Solution

The fourth proportional to 97,266, 134,227.26 and 52,554 is: 72,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,266 : 134,227.26 = 52,554 : x
  2. Step 2: Convert to fraction form
    97,266/134,227.26 = 52,554/x
  3. Step 3: Cross multiply
    97,266x = 134,227.26 × 52,554
  4. Step 4: Simplify right side
    97,266x = 7,054,179,422.04
  5. Step 5: Solve for x
    x = 7,054,179,422.04/97,266
  6. Step 6: Final answer
    x = 72,524.62

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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.