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Finding the Fourth Proportional to 165,200.50, 227,976.69 and 89,749

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Solution

The fourth proportional to 165,200.50, 227,976.69 and 89,749 is: 123,853.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,200.50 : 227,976.69 = 89,749 : x
  2. Step 2: Convert to fraction form
    165,200.50/227,976.69 = 89,749/x
  3. Step 3: Cross multiply
    165,200.50x = 227,976.69 × 89,749
  4. Step 4: Simplify right side
    165,200.50x = 20,460,679,950.81
  5. Step 5: Solve for x
    x = 20,460,679,950.81/165,200.50
  6. Step 6: Final answer
    x = 123,853.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.