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Finding the Fourth Proportional to 162,662.44, 224,447.39 and 102,190.28

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Solution

The fourth proportional to 162,662.44, 224,447.39 and 102,190.28 is: 141,005.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,662.44 : 224,447.39 = 102,190.28 : x
  2. Step 2: Convert to fraction form
    162,662.44/224,447.39 = 102,190.28/x
  3. Step 3: Cross multiply
    162,662.44x = 224,447.39 × 102,190.28
  4. Step 4: Simplify right side
    162,662.44x = 22,936,341,629.37
  5. Step 5: Solve for x
    x = 22,936,341,629.37/162,662.44
  6. Step 6: Final answer
    x = 141,005.76

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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.