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Finding the Fourth Proportional to 206,919, 285,548.52 and 117,495

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Solution

The fourth proportional to 206,919, 285,548.52 and 117,495 is: 162,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,919 : 285,548.52 = 117,495 : x
  2. Step 2: Convert to fraction form
    206,919/285,548.52 = 117,495/x
  3. Step 3: Cross multiply
    206,919x = 285,548.52 × 117,495
  4. Step 4: Simplify right side
    206,919x = 33,550,523,357.40
  5. Step 5: Solve for x
    x = 33,550,523,357.40/206,919
  6. Step 6: Final answer
    x = 162,143.27

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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.