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Finding the Fourth Proportional to 189,180.12, 283,853.76 and 99,201.36

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Solution

The fourth proportional to 189,180.12, 283,853.76 and 99,201.36 is: 148,845.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,180.12 : 283,853.76 = 99,201.36 : x
  2. Step 2: Convert to fraction form
    189,180.12/283,853.76 = 99,201.36/x
  3. Step 3: Cross multiply
    189,180.12x = 283,853.76 × 99,201.36
  4. Step 4: Simplify right side
    189,180.12x = 28,158,679,033.11
  5. Step 5: Solve for x
    x = 28,158,679,033.11/189,180.12
  6. Step 6: Final answer
    x = 148,845.87

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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.