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Finding the Fourth Proportional to 147,048.32, 202,947.72 and 82,524.44

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Solution

The fourth proportional to 147,048.32, 202,947.72 and 82,524.44 is: 113,895.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,048.32 : 202,947.72 = 82,524.44 : x
  2. Step 2: Convert to fraction form
    147,048.32/202,947.72 = 82,524.44/x
  3. Step 3: Cross multiply
    147,048.32x = 202,947.72 × 82,524.44
  4. Step 4: Simplify right side
    147,048.32x = 16,748,146,942.28
  5. Step 5: Solve for x
    x = 16,748,146,942.28/147,048.32
  6. Step 6: Final answer
    x = 113,895.53

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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.