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Finding the Fourth Proportional to 275,797.80, 413,402.40 and 157,213.80

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Solution

The fourth proportional to 275,797.80, 413,402.40 and 157,213.80 is: 235,652.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,797.80 : 413,402.40 = 157,213.80 : x
  2. Step 2: Convert to fraction form
    275,797.80/413,402.40 = 157,213.80/x
  3. Step 3: Cross multiply
    275,797.80x = 413,402.40 × 157,213.80
  4. Step 4: Simplify right side
    275,797.80x = 64,992,562,233.12
  5. Step 5: Solve for x
    x = 64,992,562,233.12/275,797.80
  6. Step 6: Final answer
    x = 235,652.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.