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Finding the Fourth Proportional to 206,416.25, 284,854.34 and 120,358.63

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Solution

The fourth proportional to 206,416.25, 284,854.34 and 120,358.63 is: 166,094.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,416.25 : 284,854.34 = 120,358.63 : x
  2. Step 2: Convert to fraction form
    206,416.25/284,854.34 = 120,358.63/x
  3. Step 3: Cross multiply
    206,416.25x = 284,854.34 × 120,358.63
  4. Step 4: Simplify right side
    206,416.25x = 34,284,676,489.60
  5. Step 5: Solve for x
    x = 34,284,676,489.60/206,416.25
  6. Step 6: Final answer
    x = 166,094.85

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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.