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Finding the Fourth Proportional to 279,977.60, 420,403.80 and 161,879.60

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Solution

The fourth proportional to 279,977.60, 420,403.80 and 161,879.60 is: 243,072.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,977.60 : 420,403.80 = 161,879.60 : x
  2. Step 2: Convert to fraction form
    279,977.60/420,403.80 = 161,879.60/x
  3. Step 3: Cross multiply
    279,977.60x = 420,403.80 × 161,879.60
  4. Step 4: Simplify right side
    279,977.60x = 68,054,798,982.48
  5. Step 5: Solve for x
    x = 68,054,798,982.48/279,977.60
  6. Step 6: Final answer
    x = 243,072.30

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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.