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Finding the Fourth Proportional to 224,496.69, 309,844.97 and 133,858.23

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Solution

The fourth proportional to 224,496.69, 309,844.97 and 133,858.23 is: 184,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,496.69 : 309,844.97 = 133,858.23 : x
  2. Step 2: Convert to fraction form
    224,496.69/309,844.97 = 133,858.23/x
  3. Step 3: Cross multiply
    224,496.69x = 309,844.97 × 133,858.23
  4. Step 4: Simplify right side
    224,496.69x = 41,475,299,258.60
  5. Step 5: Solve for x
    x = 41,475,299,258.60/224,496.69
  6. Step 6: Final answer
    x = 184,747.93

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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.