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Finding the Fourth Proportional to 235,784.43, 325,286.37 and 145,113.03

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Solution

The fourth proportional to 235,784.43, 325,286.37 and 145,113.03 is: 200,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,784.43 : 325,286.37 = 145,113.03 : x
  2. Step 2: Convert to fraction form
    235,784.43/325,286.37 = 145,113.03/x
  3. Step 3: Cross multiply
    235,784.43x = 325,286.37 × 145,113.03
  4. Step 4: Simplify right side
    235,784.43x = 47,203,290,768.40
  5. Step 5: Solve for x
    x = 47,203,290,768.40/235,784.43
  6. Step 6: Final answer
    x = 200,196.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.