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Finding the Fourth Proportional to 147,011.09, 202,871.34 and 82,474.90

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Solution

The fourth proportional to 147,011.09, 202,871.34 and 82,474.90 is: 113,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,011.09 : 202,871.34 = 82,474.90 : x
  2. Step 2: Convert to fraction form
    147,011.09/202,871.34 = 82,474.90/x
  3. Step 3: Cross multiply
    147,011.09x = 202,871.34 × 82,474.90
  4. Step 4: Simplify right side
    147,011.09x = 16,731,792,972.19
  5. Step 5: Solve for x
    x = 16,731,792,972.19/147,011.09
  6. Step 6: Final answer
    x = 113,813.14

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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.