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Finding the Fourth Proportional to 206,894, 285,513.72 and 112,686

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Solution

The fourth proportional to 206,894, 285,513.72 and 112,686 is: 155,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,894 : 285,513.72 = 112,686 : x
  2. Step 2: Convert to fraction form
    206,894/285,513.72 = 112,686/x
  3. Step 3: Cross multiply
    206,894x = 285,513.72 × 112,686
  4. Step 4: Simplify right side
    206,894x = 32,173,399,051.92
  5. Step 5: Solve for x
    x = 32,173,399,051.92/206,894
  6. Step 6: Final answer
    x = 155,506.68

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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.