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Finding the Fourth Proportional to 161,613.50, 242,251.74 and 90,431.78

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Solution

The fourth proportional to 161,613.50, 242,251.74 and 90,431.78 is: 135,553.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,613.50 : 242,251.74 = 90,431.78 : x
  2. Step 2: Convert to fraction form
    161,613.50/242,251.74 = 90,431.78/x
  3. Step 3: Cross multiply
    161,613.50x = 242,251.74 × 90,431.78
  4. Step 4: Simplify right side
    161,613.50x = 21,907,256,661.93
  5. Step 5: Solve for x
    x = 21,907,256,661.93/161,613.50
  6. Step 6: Final answer
    x = 135,553.38

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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.