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Finding the Fourth Proportional to 275,526.54, 413,241.30 and 75,798.72

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Solution

The fourth proportional to 275,526.54, 413,241.30 and 75,798.72 is: 113,684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,526.54 : 413,241.30 = 75,798.72 : x
  2. Step 2: Convert to fraction form
    275,526.54/413,241.30 = 75,798.72/x
  3. Step 3: Cross multiply
    275,526.54x = 413,241.30 × 75,798.72
  4. Step 4: Simplify right side
    275,526.54x = 31,323,161,591.14
  5. Step 5: Solve for x
    x = 31,323,161,591.14/275,526.54
  6. Step 6: Final answer
    x = 113,684.73

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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.