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Finding the Fourth Proportional to 189,422.40, 283,903.20 and 84,129.60

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Solution

The fourth proportional to 189,422.40, 283,903.20 and 84,129.60 is: 126,092.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,422.40 : 283,903.20 = 84,129.60 : x
  2. Step 2: Convert to fraction form
    189,422.40/283,903.20 = 84,129.60/x
  3. Step 3: Cross multiply
    189,422.40x = 283,903.20 × 84,129.60
  4. Step 4: Simplify right side
    189,422.40x = 23,884,662,654.72
  5. Step 5: Solve for x
    x = 23,884,662,654.72/189,422.40
  6. Step 6: Final answer
    x = 126,092.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.