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Finding the Fourth Proportional to 230,568.66, 345,906.45 and 90,328.50

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Solution

The fourth proportional to 230,568.66, 345,906.45 and 90,328.50 is: 135,513.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,568.66 : 345,906.45 = 90,328.50 : x
  2. Step 2: Convert to fraction form
    230,568.66/345,906.45 = 90,328.50/x
  3. Step 3: Cross multiply
    230,568.66x = 345,906.45 × 90,328.50
  4. Step 4: Simplify right side
    230,568.66x = 31,245,210,768.83
  5. Step 5: Solve for x
    x = 31,245,210,768.83/230,568.66
  6. Step 6: Final answer
    x = 135,513.69

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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.