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Finding the Fourth Proportional to 193,290.38, 289,819.04 and 86,655.05

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Solution

The fourth proportional to 193,290.38, 289,819.04 and 86,655.05 is: 129,930.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,290.38 : 289,819.04 = 86,655.05 : x
  2. Step 2: Convert to fraction form
    193,290.38/289,819.04 = 86,655.05/x
  3. Step 3: Cross multiply
    193,290.38x = 289,819.04 × 86,655.05
  4. Step 4: Simplify right side
    193,290.38x = 25,114,281,519.78
  5. Step 5: Solve for x
    x = 25,114,281,519.78/193,290.38
  6. Step 6: Final answer
    x = 129,930.33

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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.