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Finding the Fourth Proportional to 200,771.55, 300,928.37 and 95,441.31

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Solution

The fourth proportional to 200,771.55, 300,928.37 and 95,441.31 is: 143,053.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,771.55 : 300,928.37 = 95,441.31 : x
  2. Step 2: Convert to fraction form
    200,771.55/300,928.37 = 95,441.31/x
  3. Step 3: Cross multiply
    200,771.55x = 300,928.37 × 95,441.31
  4. Step 4: Simplify right side
    200,771.55x = 28,720,997,371.76
  5. Step 5: Solve for x
    x = 28,720,997,371.76/200,771.55
  6. Step 6: Final answer
    x = 143,053.12

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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.