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Finding the Fourth Proportional to 275,622.22, 413,359.30 and 75,895.05

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Solution

The fourth proportional to 275,622.22, 413,359.30 and 75,895.05 is: 113,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,622.22 : 413,359.30 = 75,895.05 : x
  2. Step 2: Convert to fraction form
    275,622.22/413,359.30 = 75,895.05/x
  3. Step 3: Cross multiply
    275,622.22x = 413,359.30 × 75,895.05
  4. Step 4: Simplify right side
    275,622.22x = 31,371,924,741.47
  5. Step 5: Solve for x
    x = 31,371,924,741.47/275,622.22
  6. Step 6: Final answer
    x = 113,822.19

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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.