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Finding the Fourth Proportional to 189,841.96, 284,622.36 and 114,944.50

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Solution

The fourth proportional to 189,841.96, 284,622.36 and 114,944.50 is: 172,331.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,841.96 : 284,622.36 = 114,944.50 : x
  2. Step 2: Convert to fraction form
    189,841.96/284,622.36 = 114,944.50/x
  3. Step 3: Cross multiply
    189,841.96x = 284,622.36 × 114,944.50
  4. Step 4: Simplify right side
    189,841.96x = 32,715,774,859.02
  5. Step 5: Solve for x
    x = 32,715,774,859.02/189,841.96
  6. Step 6: Final answer
    x = 172,331.63

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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.