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Finding the Fourth Proportional to 205,999.01, 284,255.13 and 115,342.37

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Solution

The fourth proportional to 205,999.01, 284,255.13 and 115,342.37 is: 159,159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,999.01 : 284,255.13 = 115,342.37 : x
  2. Step 2: Convert to fraction form
    205,999.01/284,255.13 = 115,342.37/x
  3. Step 3: Cross multiply
    205,999.01x = 284,255.13 × 115,342.37
  4. Step 4: Simplify right side
    205,999.01x = 32,786,658,957.58
  5. Step 5: Solve for x
    x = 32,786,658,957.58/205,999.01
  6. Step 6: Final answer
    x = 159,159.31

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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.