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Finding the Fourth Proportional to 206,583.22, 285,061.44 and 115,920.46

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Solution

The fourth proportional to 206,583.22, 285,061.44 and 115,920.46 is: 159,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,583.22 : 285,061.44 = 115,920.46 : x
  2. Step 2: Convert to fraction form
    206,583.22/285,061.44 = 115,920.46/x
  3. Step 3: Cross multiply
    206,583.22x = 285,061.44 × 115,920.46
  4. Step 4: Simplify right side
    206,583.22x = 33,044,453,253.06
  5. Step 5: Solve for x
    x = 33,044,453,253.06/206,583.22
  6. Step 6: Final answer
    x = 159,957.10

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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.