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Finding the Fourth Proportional to 206,864.52, 285,455.54 and 116,213.37

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Solution

The fourth proportional to 206,864.52, 285,455.54 and 116,213.37 is: 160,364.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,864.52 : 285,455.54 = 116,213.37 : x
  2. Step 2: Convert to fraction form
    206,864.52/285,455.54 = 116,213.37/x
  3. Step 3: Cross multiply
    206,864.52x = 285,455.54 × 116,213.37
  4. Step 4: Simplify right side
    206,864.52x = 33,173,749,707.50
  5. Step 5: Solve for x
    x = 33,173,749,707.50/206,864.52
  6. Step 6: Final answer
    x = 160,364.62

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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.