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Finding the Fourth Proportional to 193,147.56, 289,781.64 and 86,620.80

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Solution

The fourth proportional to 193,147.56, 289,781.64 and 86,620.80 is: 129,958.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,147.56 : 289,781.64 = 86,620.80 : x
  2. Step 2: Convert to fraction form
    193,147.56/289,781.64 = 86,620.80/x
  3. Step 3: Cross multiply
    193,147.56x = 289,781.64 × 86,620.80
  4. Step 4: Simplify right side
    193,147.56x = 25,101,117,482.11
  5. Step 5: Solve for x
    x = 25,101,117,482.11/193,147.56
  6. Step 6: Final answer
    x = 129,958.24

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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.