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Finding the Fourth Proportional to 193,159.44, 289,590.12 and 73,214.64

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Solution

The fourth proportional to 193,159.44, 289,590.12 and 73,214.64 is: 109,765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,159.44 : 289,590.12 = 73,214.64 : x
  2. Step 2: Convert to fraction form
    193,159.44/289,590.12 = 73,214.64/x
  3. Step 3: Cross multiply
    193,159.44x = 289,590.12 × 73,214.64
  4. Step 4: Simplify right side
    193,159.44x = 21,202,236,383.36
  5. Step 5: Solve for x
    x = 21,202,236,383.36/193,159.44
  6. Step 6: Final answer
    x = 109,765.47

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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.