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Finding the Fourth Proportional to 147,142.07, 203,042.01 and 82,596.52

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Solution

The fourth proportional to 147,142.07, 203,042.01 and 82,596.52 is: 113,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,142.07 : 203,042.01 = 82,596.52 : x
  2. Step 2: Convert to fraction form
    147,142.07/203,042.01 = 82,596.52/x
  3. Step 3: Cross multiply
    147,142.07x = 203,042.01 × 82,596.52
  4. Step 4: Simplify right side
    147,142.07x = 16,770,563,439.81
  5. Step 5: Solve for x
    x = 16,770,563,439.81/147,142.07
  6. Step 6: Final answer
    x = 113,975.31

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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.