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Finding the Fourth Proportional to 201,884.28, 302,825.61 and 75,534

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Solution

The fourth proportional to 201,884.28, 302,825.61 and 75,534 is: 113,300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,884.28 : 302,825.61 = 75,534 : x
  2. Step 2: Convert to fraction form
    201,884.28/302,825.61 = 75,534/x
  3. Step 3: Cross multiply
    201,884.28x = 302,825.61 × 75,534
  4. Step 4: Simplify right side
    201,884.28x = 22,873,629,625.74
  5. Step 5: Solve for x
    x = 22,873,629,625.74/201,884.28
  6. Step 6: Final answer
    x = 113,300.70

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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.