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Finding the Fourth Proportional to 265,843.96, 398,605.29 and 105,944.49

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Solution

The fourth proportional to 265,843.96, 398,605.29 and 105,944.49 is: 158,852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,843.96 : 398,605.29 = 105,944.49 : x
  2. Step 2: Convert to fraction form
    265,843.96/398,605.29 = 105,944.49/x
  3. Step 3: Cross multiply
    265,843.96x = 398,605.29 × 105,944.49
  4. Step 4: Simplify right side
    265,843.96x = 42,230,033,763.06
  5. Step 5: Solve for x
    x = 42,230,033,763.06/265,843.96
  6. Step 6: Final answer
    x = 158,852.71

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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.