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Finding the Fourth Proportional to 308,196, 425,310.48 and 166,884

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Solution

The fourth proportional to 308,196, 425,310.48 and 166,884 is: 230,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,196 : 425,310.48 = 166,884 : x
  2. Step 2: Convert to fraction form
    308,196/425,310.48 = 166,884/x
  3. Step 3: Cross multiply
    308,196x = 425,310.48 × 166,884
  4. Step 4: Simplify right side
    308,196x = 70,977,514,144.32
  5. Step 5: Solve for x
    x = 70,977,514,144.32/308,196
  6. Step 6: Final answer
    x = 230,299.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.