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Finding the Fourth Proportional to 230,099.40, 345,008.16 and 89,694

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Solution

The fourth proportional to 230,099.40, 345,008.16 and 89,694 is: 134,486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,099.40 : 345,008.16 = 89,694 : x
  2. Step 2: Convert to fraction form
    230,099.40/345,008.16 = 89,694/x
  3. Step 3: Cross multiply
    230,099.40x = 345,008.16 × 89,694
  4. Step 4: Simplify right side
    230,099.40x = 30,945,161,903.04
  5. Step 5: Solve for x
    x = 30,945,161,903.04/230,099.40
  6. Step 6: Final answer
    x = 134,486.06

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Why These Related Problems?

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