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Finding the Fourth Proportional to 234,202.54, 323,164.74 and 142,274.02

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Solution

The fourth proportional to 234,202.54, 323,164.74 and 142,274.02 is: 196,317.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,202.54 : 323,164.74 = 142,274.02 : x
  2. Step 2: Convert to fraction form
    234,202.54/323,164.74 = 142,274.02/x
  3. Step 3: Cross multiply
    234,202.54x = 323,164.74 × 142,274.02
  4. Step 4: Simplify right side
    234,202.54x = 45,977,946,682.05
  5. Step 5: Solve for x
    x = 45,977,946,682.05/234,202.54
  6. Step 6: Final answer
    x = 196,317.03

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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.