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Finding the Fourth Proportional to 189,000.20, 283,500.30 and 114,350.60

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Solution

The fourth proportional to 189,000.20, 283,500.30 and 114,350.60 is: 171,525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,000.20 : 283,500.30 = 114,350.60 : x
  2. Step 2: Convert to fraction form
    189,000.20/283,500.30 = 114,350.60/x
  3. Step 3: Cross multiply
    189,000.20x = 283,500.30 × 114,350.60
  4. Step 4: Simplify right side
    189,000.20x = 32,418,429,405.18
  5. Step 5: Solve for x
    x = 32,418,429,405.18/189,000.20
  6. Step 6: Final answer
    x = 171,525.90

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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.