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Finding the Fourth Proportional to 205,256.96, 283,253.76 and 115,832.32

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Solution

The fourth proportional to 205,256.96, 283,253.76 and 115,832.32 is: 159,848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,256.96 : 283,253.76 = 115,832.32 : x
  2. Step 2: Convert to fraction form
    205,256.96/283,253.76 = 115,832.32/x
  3. Step 3: Cross multiply
    205,256.96x = 283,253.76 × 115,832.32
  4. Step 4: Simplify right side
    205,256.96x = 32,809,940,169.52
  5. Step 5: Solve for x
    x = 32,809,940,169.52/205,256.96
  6. Step 6: Final answer
    x = 159,848.12

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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.