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Finding the Fourth Proportional to 275,673.28, 413,572.64 and 98,199.04

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Solution

The fourth proportional to 275,673.28, 413,572.64 and 98,199.04 is: 147,320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,673.28 : 413,572.64 = 98,199.04 : x
  2. Step 2: Convert to fraction form
    275,673.28/413,572.64 = 98,199.04/x
  3. Step 3: Cross multiply
    275,673.28x = 413,572.64 × 98,199.04
  4. Step 4: Simplify right side
    275,673.28x = 40,612,436,218.27
  5. Step 5: Solve for x
    x = 40,612,436,218.27/275,673.28
  6. Step 6: Final answer
    x = 147,320.90

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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.