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Finding the Fourth Proportional to 189,516.96, 284,447.52 and 100,844.64

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Solution

The fourth proportional to 189,516.96, 284,447.52 and 100,844.64 is: 151,358.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,516.96 : 284,447.52 = 100,844.64 : x
  2. Step 2: Convert to fraction form
    189,516.96/284,447.52 = 100,844.64/x
  3. Step 3: Cross multiply
    189,516.96x = 284,447.52 × 100,844.64
  4. Step 4: Simplify right side
    189,516.96x = 28,685,007,753.29
  5. Step 5: Solve for x
    x = 28,685,007,753.29/189,516.96
  6. Step 6: Final answer
    x = 151,358.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.