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Finding the Fourth Proportional to 270,949.40, 406,227.18 and 113,223

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Solution

The fourth proportional to 270,949.40, 406,227.18 and 113,223 is: 169,752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,949.40 : 406,227.18 = 113,223 : x
  2. Step 2: Convert to fraction form
    270,949.40/406,227.18 = 113,223/x
  3. Step 3: Cross multiply
    270,949.40x = 406,227.18 × 113,223
  4. Step 4: Simplify right side
    270,949.40x = 45,994,260,001.14
  5. Step 5: Solve for x
    x = 45,994,260,001.14/270,949.40
  6. Step 6: Final answer
    x = 169,752.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.