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Finding the Fourth Proportional to 189,659.72, 284,489.44 and 56,536.56

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Solution

The fourth proportional to 189,659.72, 284,489.44 and 56,536.56 is: 84,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,659.72 : 284,489.44 = 56,536.56 : x
  2. Step 2: Convert to fraction form
    189,659.72/284,489.44 = 56,536.56/x
  3. Step 3: Cross multiply
    189,659.72x = 284,489.44 × 56,536.56
  4. Step 4: Simplify right side
    189,659.72x = 16,084,054,293.93
  5. Step 5: Solve for x
    x = 16,084,054,293.93/189,659.72
  6. Step 6: Final answer
    x = 84,804.80

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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.