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Finding the Fourth Proportional to 189,663.88, 284,674.38 and 96,236.68

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Solution

The fourth proportional to 189,663.88, 284,674.38 and 96,236.68 is: 144,445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,663.88 : 284,674.38 = 96,236.68 : x
  2. Step 2: Convert to fraction form
    189,663.88/284,674.38 = 96,236.68/x
  3. Step 3: Cross multiply
    189,663.88x = 284,674.38 × 96,236.68
  4. Step 4: Simplify right side
    189,663.88x = 27,396,117,212.26
  5. Step 5: Solve for x
    x = 27,396,117,212.26/189,663.88
  6. Step 6: Final answer
    x = 144,445.62

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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.