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Finding the Fourth Proportional to 189,767.52, 284,231.28 and 123,005.64

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Solution

The fourth proportional to 189,767.52, 284,231.28 and 123,005.64 is: 184,236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,767.52 : 284,231.28 = 123,005.64 : x
  2. Step 2: Convert to fraction form
    189,767.52/284,231.28 = 123,005.64/x
  3. Step 3: Cross multiply
    189,767.52x = 284,231.28 × 123,005.64
  4. Step 4: Simplify right side
    189,767.52x = 34,962,050,504.42
  5. Step 5: Solve for x
    x = 34,962,050,504.42/189,767.52
  6. Step 6: Final answer
    x = 184,236.22

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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.