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Finding the Fourth Proportional to 275,266.96, 412,851.13 and 75,561.05

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Solution

The fourth proportional to 275,266.96, 412,851.13 and 75,561.05 is: 113,328.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,266.96 : 412,851.13 = 75,561.05 : x
  2. Step 2: Convert to fraction form
    275,266.96/412,851.13 = 75,561.05/x
  3. Step 3: Cross multiply
    275,266.96x = 412,851.13 × 75,561.05
  4. Step 4: Simplify right side
    275,266.96x = 31,195,465,719.71
  5. Step 5: Solve for x
    x = 31,195,465,719.71/275,266.96
  6. Step 6: Final answer
    x = 113,328.04

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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.