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Finding the Fourth Proportional to 214,738.98, 322,199.46 and 114,873

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Solution

The fourth proportional to 214,738.98, 322,199.46 and 114,873 is: 172,358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,738.98 : 322,199.46 = 114,873 : x
  2. Step 2: Convert to fraction form
    214,738.98/322,199.46 = 114,873/x
  3. Step 3: Cross multiply
    214,738.98x = 322,199.46 × 114,873
  4. Step 4: Simplify right side
    214,738.98x = 37,012,018,568.58
  5. Step 5: Solve for x
    x = 37,012,018,568.58/214,738.98
  6. Step 6: Final answer
    x = 172,358.17

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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.