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Finding the Fourth Proportional to 121,584, 182,295 and 50,488.14

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Solution

The fourth proportional to 121,584, 182,295 and 50,488.14 is: 75,698.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,584 : 182,295 = 50,488.14 : x
  2. Step 2: Convert to fraction form
    121,584/182,295 = 50,488.14/x
  3. Step 3: Cross multiply
    121,584x = 182,295 × 50,488.14
  4. Step 4: Simplify right side
    121,584x = 9,203,735,481.30
  5. Step 5: Solve for x
    x = 9,203,735,481.30/121,584
  6. Step 6: Final answer
    x = 75,698.57

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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.