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Finding the Fourth Proportional to 275,513.28, 413,269.92 and 109,301.28

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Solution

The fourth proportional to 275,513.28, 413,269.92 and 109,301.28 is: 163,951.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,513.28 : 413,269.92 = 109,301.28 : x
  2. Step 2: Convert to fraction form
    275,513.28/413,269.92 = 109,301.28/x
  3. Step 3: Cross multiply
    275,513.28x = 413,269.92 × 109,301.28
  4. Step 4: Simplify right side
    275,513.28x = 45,170,931,241.50
  5. Step 5: Solve for x
    x = 45,170,931,241.50/275,513.28
  6. Step 6: Final answer
    x = 163,951.92

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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.