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Finding the Fourth Proportional to 193,290.35, 289,819.01 and 86,655

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Solution

The fourth proportional to 193,290.35, 289,819.01 and 86,655 is: 129,930.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,290.35 : 289,819.01 = 86,655 : x
  2. Step 2: Convert to fraction form
    193,290.35/289,819.01 = 86,655/x
  3. Step 3: Cross multiply
    193,290.35x = 289,819.01 × 86,655
  4. Step 4: Simplify right side
    193,290.35x = 25,114,265,878.28
  5. Step 5: Solve for x
    x = 25,114,265,878.28/193,290.35
  6. Step 6: Final answer
    x = 129,930.27

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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.