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Finding the Fourth Proportional to 282,523.87, 389,950.20 and 161,734.96

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Solution

The fourth proportional to 282,523.87, 389,950.20 and 161,734.96 is: 223,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,523.87 : 389,950.20 = 161,734.96 : x
  2. Step 2: Convert to fraction form
    282,523.87/389,950.20 = 161,734.96/x
  3. Step 3: Cross multiply
    282,523.87x = 389,950.20 × 161,734.96
  4. Step 4: Simplify right side
    282,523.87x = 63,068,577,240.57
  5. Step 5: Solve for x
    x = 63,068,577,240.57/282,523.87
  6. Step 6: Final answer
    x = 223,232.74

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Why These Related Problems?

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