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Finding the Fourth Proportional to 189,224.64, 283,811.04 and 110,376

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Solution

The fourth proportional to 189,224.64, 283,811.04 and 110,376 is: 165,548.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,224.64 : 283,811.04 = 110,376 : x
  2. Step 2: Convert to fraction form
    189,224.64/283,811.04 = 110,376/x
  3. Step 3: Cross multiply
    189,224.64x = 283,811.04 × 110,376
  4. Step 4: Simplify right side
    189,224.64x = 31,325,927,351.04
  5. Step 5: Solve for x
    x = 31,325,927,351.04/189,224.64
  6. Step 6: Final answer
    x = 165,548.88

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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.