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Finding the Fourth Proportional to 206,335.96, 284,867.82 and 134,835.64

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Solution

The fourth proportional to 206,335.96, 284,867.82 and 134,835.64 is: 186,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,335.96 : 284,867.82 = 134,835.64 : x
  2. Step 2: Convert to fraction form
    206,335.96/284,867.82 = 134,835.64/x
  3. Step 3: Cross multiply
    206,335.96x = 284,867.82 × 134,835.64
  4. Step 4: Simplify right side
    206,335.96x = 38,410,334,825.10
  5. Step 5: Solve for x
    x = 38,410,334,825.10/206,335.96
  6. Step 6: Final answer
    x = 186,154.34

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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.