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Finding the Fourth Proportional to 204,372.69, 306,115.96 and 98,970.63

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Solution

The fourth proportional to 204,372.69, 306,115.96 and 98,970.63 is: 148,241.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,372.69 : 306,115.96 = 98,970.63 : x
  2. Step 2: Convert to fraction form
    204,372.69/306,115.96 = 98,970.63/x
  3. Step 3: Cross multiply
    204,372.69x = 306,115.96 × 98,970.63
  4. Step 4: Simplify right side
    204,372.69x = 30,296,487,388.82
  5. Step 5: Solve for x
    x = 30,296,487,388.82/204,372.69
  6. Step 6: Final answer
    x = 148,241.37

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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.