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Finding the Fourth Proportional to 206,678.46, 285,194.25 and 116,044.32

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Solution

The fourth proportional to 206,678.46, 285,194.25 and 116,044.32 is: 160,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,678.46 : 285,194.25 = 116,044.32 : x
  2. Step 2: Convert to fraction form
    206,678.46/285,194.25 = 116,044.32/x
  3. Step 3: Cross multiply
    206,678.46x = 285,194.25 × 116,044.32
  4. Step 4: Simplify right side
    206,678.46x = 33,095,172,809.16
  5. Step 5: Solve for x
    x = 33,095,172,809.16/206,678.46
  6. Step 6: Final answer
    x = 160,128.80

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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.