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Finding the Fourth Proportional to 206,671.46, 285,186.91 and 116,006.64

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Solution

The fourth proportional to 206,671.46, 285,186.91 and 116,006.64 is: 160,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,671.46 : 285,186.91 = 116,006.64 : x
  2. Step 2: Convert to fraction form
    206,671.46/285,186.91 = 116,006.64/x
  3. Step 3: Cross multiply
    206,671.46x = 285,186.91 × 116,006.64
  4. Step 4: Simplify right side
    206,671.46x = 33,083,574,911.07
  5. Step 5: Solve for x
    x = 33,083,574,911.07/206,671.46
  6. Step 6: Final answer
    x = 160,078.11

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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.