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Finding the Fourth Proportional to 100,828.80, 151,250.56 and 34,241.92

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Solution

The fourth proportional to 100,828.80, 151,250.56 and 34,241.92 is: 51,365.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,828.80 : 151,250.56 = 34,241.92 : x
  2. Step 2: Convert to fraction form
    100,828.80/151,250.56 = 34,241.92/x
  3. Step 3: Cross multiply
    100,828.80x = 151,250.56 × 34,241.92
  4. Step 4: Simplify right side
    100,828.80x = 5,179,109,575.48
  5. Step 5: Solve for x
    x = 5,179,109,575.48/100,828.80
  6. Step 6: Final answer
    x = 51,365.38

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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.