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Finding the Fourth Proportional to 165,797.10, 248,634.90 and 53,506.80

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Solution

The fourth proportional to 165,797.10, 248,634.90 and 53,506.80 is: 80,240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,797.10 : 248,634.90 = 53,506.80 : x
  2. Step 2: Convert to fraction form
    165,797.10/248,634.90 = 53,506.80/x
  3. Step 3: Cross multiply
    165,797.10x = 248,634.90 × 53,506.80
  4. Step 4: Simplify right side
    165,797.10x = 13,303,657,867.32
  5. Step 5: Solve for x
    x = 13,303,657,867.32/165,797.10
  6. Step 6: Final answer
    x = 80,240.59

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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.