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Finding the Fourth Proportional to 205,863.72, 284,071.86 and 115,214.28

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Solution

The fourth proportional to 205,863.72, 284,071.86 and 115,214.28 is: 158,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,863.72 : 284,071.86 = 115,214.28 : x
  2. Step 2: Convert to fraction form
    205,863.72/284,071.86 = 115,214.28/x
  3. Step 3: Cross multiply
    205,863.72x = 284,071.86 × 115,214.28
  4. Step 4: Simplify right side
    205,863.72x = 32,729,134,818.16
  5. Step 5: Solve for x
    x = 32,729,134,818.16/205,863.72
  6. Step 6: Final answer
    x = 158,984.47

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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.