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Finding the Fourth Proportional to 205,756.57, 283,932.57 and 115,095.03

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Solution

The fourth proportional to 205,756.57, 283,932.57 and 115,095.03 is: 158,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,756.57 : 283,932.57 = 115,095.03 : x
  2. Step 2: Convert to fraction form
    205,756.57/283,932.57 = 115,095.03/x
  3. Step 3: Cross multiply
    205,756.57x = 283,932.57 × 115,095.03
  4. Step 4: Simplify right side
    205,756.57x = 32,679,227,662.13
  5. Step 5: Solve for x
    x = 32,679,227,662.13/205,756.57
  6. Step 6: Final answer
    x = 158,824.71

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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.