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Finding the Fourth Proportional to 189,000.30, 283,500.45 and 114,350.70

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Solution

The fourth proportional to 189,000.30, 283,500.45 and 114,350.70 is: 171,526.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,000.30 : 283,500.45 = 114,350.70 : x
  2. Step 2: Convert to fraction form
    189,000.30/283,500.45 = 114,350.70/x
  3. Step 3: Cross multiply
    189,000.30x = 283,500.45 × 114,350.70
  4. Step 4: Simplify right side
    189,000.30x = 32,418,474,907.82
  5. Step 5: Solve for x
    x = 32,418,474,907.82/189,000.30
  6. Step 6: Final answer
    x = 171,526.05

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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.