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Finding the Fourth Proportional to 275,429.20, 413,201.40 and 88,459.60

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Solution

The fourth proportional to 275,429.20, 413,201.40 and 88,459.60 is: 132,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,429.20 : 413,201.40 = 88,459.60 : x
  2. Step 2: Convert to fraction form
    275,429.20/413,201.40 = 88,459.60/x
  3. Step 3: Cross multiply
    275,429.20x = 413,201.40 × 88,459.60
  4. Step 4: Simplify right side
    275,429.20x = 36,551,630,563.44
  5. Step 5: Solve for x
    x = 36,551,630,563.44/275,429.20
  6. Step 6: Final answer
    x = 132,707.90

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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.