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Finding the Fourth Proportional to 201,769.48, 278,431.12 and 115,723.99

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Solution

The fourth proportional to 201,769.48, 278,431.12 and 115,723.99 is: 159,692.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,769.48 : 278,431.12 = 115,723.99 : x
  2. Step 2: Convert to fraction form
    201,769.48/278,431.12 = 115,723.99/x
  3. Step 3: Cross multiply
    201,769.48x = 278,431.12 × 115,723.99
  4. Step 4: Simplify right side
    201,769.48x = 32,221,160,146.57
  5. Step 5: Solve for x
    x = 32,221,160,146.57/201,769.48
  6. Step 6: Final answer
    x = 159,692.93

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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.