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Finding the Fourth Proportional to 147,265.29, 203,231.84 and 83,609.01

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Solution

The fourth proportional to 147,265.29, 203,231.84 and 83,609.01 is: 115,383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,265.29 : 203,231.84 = 83,609.01 : x
  2. Step 2: Convert to fraction form
    147,265.29/203,231.84 = 83,609.01/x
  3. Step 3: Cross multiply
    147,265.29x = 203,231.84 × 83,609.01
  4. Step 4: Simplify right side
    147,265.29x = 16,992,012,524.83
  5. Step 5: Solve for x
    x = 16,992,012,524.83/147,265.29
  6. Step 6: Final answer
    x = 115,383.69

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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.