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Finding the Fourth Proportional to 165,763.80, 248,645.70 and 54,955.80

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Solution

The fourth proportional to 165,763.80, 248,645.70 and 54,955.80 is: 82,433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,763.80 : 248,645.70 = 54,955.80 : x
  2. Step 2: Convert to fraction form
    165,763.80/248,645.70 = 54,955.80/x
  3. Step 3: Cross multiply
    165,763.80x = 248,645.70 × 54,955.80
  4. Step 4: Simplify right side
    165,763.80x = 13,664,523,360.06
  5. Step 5: Solve for x
    x = 13,664,523,360.06/165,763.80
  6. Step 6: Final answer
    x = 82,433.70

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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.