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Finding the Fourth Proportional to 225,295.26, 310,625.19 and 144,580.38

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Solution

The fourth proportional to 225,295.26, 310,625.19 and 144,580.38 is: 199,339.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,295.26 : 310,625.19 = 144,580.38 : x
  2. Step 2: Convert to fraction form
    225,295.26/310,625.19 = 144,580.38/x
  3. Step 3: Cross multiply
    225,295.26x = 310,625.19 × 144,580.38
  4. Step 4: Simplify right side
    225,295.26x = 44,910,308,007.77
  5. Step 5: Solve for x
    x = 44,910,308,007.77/225,295.26
  6. Step 6: Final answer
    x = 199,339.78

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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.