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Finding the Fourth Proportional to 230,093.28, 344,673.36 and 119,052

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Solution

The fourth proportional to 230,093.28, 344,673.36 and 119,052 is: 178,336.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,093.28 : 344,673.36 = 119,052 : x
  2. Step 2: Convert to fraction form
    230,093.28/344,673.36 = 119,052/x
  3. Step 3: Cross multiply
    230,093.28x = 344,673.36 × 119,052
  4. Step 4: Simplify right side
    230,093.28x = 41,034,052,854.72
  5. Step 5: Solve for x
    x = 41,034,052,854.72/230,093.28
  6. Step 6: Final answer
    x = 178,336.60

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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.