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Finding the Fourth Proportional to 147,892.38, 204,091.47 and 80,824.38

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Solution

The fourth proportional to 147,892.38, 204,091.47 and 80,824.38 is: 111,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,892.38 : 204,091.47 = 80,824.38 : x
  2. Step 2: Convert to fraction form
    147,892.38/204,091.47 = 80,824.38/x
  3. Step 3: Cross multiply
    147,892.38x = 204,091.47 × 80,824.38
  4. Step 4: Simplify right side
    147,892.38x = 16,495,566,526.04
  5. Step 5: Solve for x
    x = 16,495,566,526.04/147,892.38
  6. Step 6: Final answer
    x = 111,537.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.