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Finding the Fourth Proportional to 145,202.27, 200,372.09 and 80,675.57

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Solution

The fourth proportional to 145,202.27, 200,372.09 and 80,675.57 is: 111,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,202.27 : 200,372.09 = 80,675.57 : x
  2. Step 2: Convert to fraction form
    145,202.27/200,372.09 = 80,675.57/x
  3. Step 3: Cross multiply
    145,202.27x = 200,372.09 × 80,675.57
  4. Step 4: Simplify right side
    145,202.27x = 16,165,132,670.39
  5. Step 5: Solve for x
    x = 16,165,132,670.39/145,202.27
  6. Step 6: Final answer
    x = 111,328.38

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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.