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Finding the Fourth Proportional to 275,682.30, 413,533.98 and 86,160.12

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Solution

The fourth proportional to 275,682.30, 413,533.98 and 86,160.12 is: 129,243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,682.30 : 413,533.98 = 86,160.12 : x
  2. Step 2: Convert to fraction form
    275,682.30/413,533.98 = 86,160.12/x
  3. Step 3: Cross multiply
    275,682.30x = 413,533.98 × 86,160.12
  4. Step 4: Simplify right side
    275,682.30x = 35,630,137,340.88
  5. Step 5: Solve for x
    x = 35,630,137,340.88/275,682.30
  6. Step 6: Final answer
    x = 129,243.47

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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.