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Finding the Fourth Proportional to 189,651.72, 284,477.44 and 56,528.56

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Solution

The fourth proportional to 189,651.72, 284,477.44 and 56,528.56 is: 84,792.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,651.72 : 284,477.44 = 56,528.56 : x
  2. Step 2: Convert to fraction form
    189,651.72/284,477.44 = 56,528.56/x
  3. Step 3: Cross multiply
    189,651.72x = 284,477.44 × 56,528.56
  4. Step 4: Simplify right side
    189,651.72x = 16,081,100,035.69
  5. Step 5: Solve for x
    x = 16,081,100,035.69/189,651.72
  6. Step 6: Final answer
    x = 84,792.80

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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.