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Finding the Fourth Proportional to 206,543.47, 285,006.85 and 115,880.58

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Solution

The fourth proportional to 206,543.47, 285,006.85 and 115,880.58 is: 159,902.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,543.47 : 285,006.85 = 115,880.58 : x
  2. Step 2: Convert to fraction form
    206,543.47/285,006.85 = 115,880.58/x
  3. Step 3: Cross multiply
    206,543.47x = 285,006.85 × 115,880.58
  4. Step 4: Simplify right side
    206,543.47x = 33,026,759,081.97
  5. Step 5: Solve for x
    x = 33,026,759,081.97/206,543.47
  6. Step 6: Final answer
    x = 159,902.22

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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.