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Finding the Fourth Proportional to 205,837.51, 284,059.62 and 115,203.45

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Solution

The fourth proportional to 205,837.51, 284,059.62 and 115,203.45 is: 158,982.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,837.51 : 284,059.62 = 115,203.45 : x
  2. Step 2: Convert to fraction form
    205,837.51/284,059.62 = 115,203.45/x
  3. Step 3: Cross multiply
    205,837.51x = 284,059.62 × 115,203.45
  4. Step 4: Simplify right side
    205,837.51x = 32,724,648,229.69
  5. Step 5: Solve for x
    x = 32,724,648,229.69/205,837.51
  6. Step 6: Final answer
    x = 158,982.92

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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.