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Finding the Fourth Proportional to 165,907.94, 248,861.63 and 132,471.32

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Solution

The fourth proportional to 165,907.94, 248,861.63 and 132,471.32 is: 198,706.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,907.94 : 248,861.63 = 132,471.32 : x
  2. Step 2: Convert to fraction form
    165,907.94/248,861.63 = 132,471.32/x
  3. Step 3: Cross multiply
    165,907.94x = 248,861.63 × 132,471.32
  4. Step 4: Simplify right side
    165,907.94x = 32,967,027,710.32
  5. Step 5: Solve for x
    x = 32,967,027,710.32/165,907.94
  6. Step 6: Final answer
    x = 198,706.76

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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.