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Finding the Fourth Proportional to 165,234.26, 228,022.81 and 89,782.74

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Solution

The fourth proportional to 165,234.26, 228,022.81 and 89,782.74 is: 123,899.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,234.26 : 228,022.81 = 89,782.74 : x
  2. Step 2: Convert to fraction form
    165,234.26/228,022.81 = 89,782.74/x
  3. Step 3: Cross multiply
    165,234.26x = 228,022.81 × 89,782.74
  4. Step 4: Simplify right side
    165,234.26x = 20,472,512,664.30
  5. Step 5: Solve for x
    x = 20,472,512,664.30/165,234.26
  6. Step 6: Final answer
    x = 123,899.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.