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Finding the Fourth Proportional to 165,909.30, 248,863.95 and 55,101.30

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Solution

The fourth proportional to 165,909.30, 248,863.95 and 55,101.30 is: 82,651.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,909.30 : 248,863.95 = 55,101.30 : x
  2. Step 2: Convert to fraction form
    165,909.30/248,863.95 = 55,101.30/x
  3. Step 3: Cross multiply
    165,909.30x = 248,863.95 × 55,101.30
  4. Step 4: Simplify right side
    165,909.30x = 13,712,727,168.14
  5. Step 5: Solve for x
    x = 13,712,727,168.14/165,909.30
  6. Step 6: Final answer
    x = 82,651.95

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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.