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Finding the Fourth Proportional to 164,965.20, 247,455.90 and 86,233.20

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Solution

The fourth proportional to 164,965.20, 247,455.90 and 86,233.20 is: 129,354.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,965.20 : 247,455.90 = 86,233.20 : x
  2. Step 2: Convert to fraction form
    164,965.20/247,455.90 = 86,233.20/x
  3. Step 3: Cross multiply
    164,965.20x = 247,455.90 × 86,233.20
  4. Step 4: Simplify right side
    164,965.20x = 21,338,914,115.88
  5. Step 5: Solve for x
    x = 21,338,914,115.88/164,965.20
  6. Step 6: Final answer
    x = 129,354.03

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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.