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Finding the Fourth Proportional to 189,613.22, 284,502.80 and 89,844.62

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Solution

The fourth proportional to 189,613.22, 284,502.80 and 89,844.62 is: 134,806.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,613.22 : 284,502.80 = 89,844.62 : x
  2. Step 2: Convert to fraction form
    189,613.22/284,502.80 = 89,844.62/x
  3. Step 3: Cross multiply
    189,613.22x = 284,502.80 × 89,844.62
  4. Step 4: Simplify right side
    189,613.22x = 25,561,044,757.03
  5. Step 5: Solve for x
    x = 25,561,044,757.03/189,613.22
  6. Step 6: Final answer
    x = 134,806.24

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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.