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Finding the Fourth Proportional to 202,861.20, 280,042.32 and 144,762.72

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Solution

The fourth proportional to 202,861.20, 280,042.32 and 144,762.72 is: 199,839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,861.20 : 280,042.32 = 144,762.72 : x
  2. Step 2: Convert to fraction form
    202,861.20/280,042.32 = 144,762.72/x
  3. Step 3: Cross multiply
    202,861.20x = 280,042.32 × 144,762.72
  4. Step 4: Simplify right side
    202,861.20x = 40,539,687,958.31
  5. Step 5: Solve for x
    x = 40,539,687,958.31/202,861.20
  6. Step 6: Final answer
    x = 199,839.54

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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.