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Finding the Fourth Proportional to 147,007.36, 202,865.34 and 82,472.68

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Solution

The fourth proportional to 147,007.36, 202,865.34 and 82,472.68 is: 113,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,007.36 : 202,865.34 = 82,472.68 : x
  2. Step 2: Convert to fraction form
    147,007.36/202,865.34 = 82,472.68/x
  3. Step 3: Cross multiply
    147,007.36x = 202,865.34 × 82,472.68
  4. Step 4: Simplify right side
    147,007.36x = 16,730,848,268.91
  5. Step 5: Solve for x
    x = 16,730,848,268.91/147,007.36
  6. Step 6: Final answer
    x = 113,809.60

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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.