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Finding the Fourth Proportional to 189,668.96, 284,517.96 and 56,539.04

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Solution

The fourth proportional to 189,668.96, 284,517.96 and 56,539.04 is: 84,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,668.96 : 284,517.96 = 56,539.04 : x
  2. Step 2: Convert to fraction form
    189,668.96/284,517.96 = 56,539.04/x
  3. Step 3: Cross multiply
    189,668.96x = 284,517.96 × 56,539.04
  4. Step 4: Simplify right side
    189,668.96x = 16,086,372,321.16
  5. Step 5: Solve for x
    x = 16,086,372,321.16/189,668.96
  6. Step 6: Final answer
    x = 84,812.89

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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.