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Finding the Fourth Proportional to 205,173.14, 283,139.69 and 114,527.48

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Solution

The fourth proportional to 205,173.14, 283,139.69 and 114,527.48 is: 158,048.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,173.14 : 283,139.69 = 114,527.48 : x
  2. Step 2: Convert to fraction form
    205,173.14/283,139.69 = 114,527.48/x
  3. Step 3: Cross multiply
    205,173.14x = 283,139.69 × 114,527.48
  4. Step 4: Simplify right side
    205,173.14x = 32,427,273,195.35
  5. Step 5: Solve for x
    x = 32,427,273,195.35/205,173.14
  6. Step 6: Final answer
    x = 158,048.34

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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.