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Finding the Fourth Proportional to 206,592.94, 285,128.04 and 114,733.18

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Solution

The fourth proportional to 206,592.94, 285,128.04 and 114,733.18 is: 158,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,592.94 : 285,128.04 = 114,733.18 : x
  2. Step 2: Convert to fraction form
    206,592.94/285,128.04 = 114,733.18/x
  3. Step 3: Cross multiply
    206,592.94x = 285,128.04 × 114,733.18
  4. Step 4: Simplify right side
    206,592.94x = 32,713,646,736.37
  5. Step 5: Solve for x
    x = 32,713,646,736.37/206,592.94
  6. Step 6: Final answer
    x = 158,348.33

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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.