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Finding the Fourth Proportional to 234,128.56, 323,062.64 and 142,200

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Solution

The fourth proportional to 234,128.56, 323,062.64 and 142,200 is: 196,214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,128.56 : 323,062.64 = 142,200 : x
  2. Step 2: Convert to fraction form
    234,128.56/323,062.64 = 142,200/x
  3. Step 3: Cross multiply
    234,128.56x = 323,062.64 × 142,200
  4. Step 4: Simplify right side
    234,128.56x = 45,939,507,763.50
  5. Step 5: Solve for x
    x = 45,939,507,763.50/234,128.56
  6. Step 6: Final answer
    x = 196,214.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.