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Finding the Fourth Proportional to 225,792.82, 311,591.52 and 130,297.47

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Solution

The fourth proportional to 225,792.82, 311,591.52 and 130,297.47 is: 179,809.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,792.82 : 311,591.52 = 130,297.47 : x
  2. Step 2: Convert to fraction form
    225,792.82/311,591.52 = 130,297.47/x
  3. Step 3: Cross multiply
    225,792.82x = 311,591.52 × 130,297.47
  4. Step 4: Simplify right side
    225,792.82x = 40,599,586,729.45
  5. Step 5: Solve for x
    x = 40,599,586,729.45/225,792.82
  6. Step 6: Final answer
    x = 179,809.02

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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.