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Finding the Fourth Proportional to 165,909, 248,864.42 and 41,250

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Solution

The fourth proportional to 165,909, 248,864.42 and 41,250 is: 61,875.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,909 : 248,864.42 = 41,250 : x
  2. Step 2: Convert to fraction form
    165,909/248,864.42 = 41,250/x
  3. Step 3: Cross multiply
    165,909x = 248,864.42 × 41,250
  4. Step 4: Simplify right side
    165,909x = 10,265,657,118.75
  5. Step 5: Solve for x
    x = 10,265,657,118.75/165,909
  6. Step 6: Final answer
    x = 61,875.23

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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.