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Finding the Fourth Proportional to 206,585.06, 285,093.06 and 115,946.66

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Solution

The fourth proportional to 206,585.06, 285,093.06 and 115,946.66 is: 160,009.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,585.06 : 285,093.06 = 115,946.66 : x
  2. Step 2: Convert to fraction form
    206,585.06/285,093.06 = 115,946.66/x
  3. Step 3: Cross multiply
    206,585.06x = 285,093.06 × 115,946.66
  4. Step 4: Simplify right side
    206,585.06x = 33,055,588,096.18
  5. Step 5: Solve for x
    x = 33,055,588,096.18/206,585.06
  6. Step 6: Final answer
    x = 160,009.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.