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Finding the Fourth Proportional to 142,201.68, 196,234.56 and 78,538.20

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Solution

The fourth proportional to 142,201.68, 196,234.56 and 78,538.20 is: 108,380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,201.68 : 196,234.56 = 78,538.20 : x
  2. Step 2: Convert to fraction form
    142,201.68/196,234.56 = 78,538.20/x
  3. Step 3: Cross multiply
    142,201.68x = 196,234.56 × 78,538.20
  4. Step 4: Simplify right side
    142,201.68x = 15,411,909,120.19
  5. Step 5: Solve for x
    x = 15,411,909,120.19/142,201.68
  6. Step 6: Final answer
    x = 108,380.64

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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.