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Finding the Fourth Proportional to 206,103.80, 284,441.28 and 115,458.32

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Solution

The fourth proportional to 206,103.80, 284,441.28 and 115,458.32 is: 159,342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,103.80 : 284,441.28 = 115,458.32 : x
  2. Step 2: Convert to fraction form
    206,103.80/284,441.28 = 115,458.32/x
  3. Step 3: Cross multiply
    206,103.80x = 284,441.28 × 115,458.32
  4. Step 4: Simplify right side
    206,103.80x = 32,841,112,327.45
  5. Step 5: Solve for x
    x = 32,841,112,327.45/206,103.80
  6. Step 6: Final answer
    x = 159,342.59

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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.