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Finding the Fourth Proportional to 205,384.56, 283,402.63 and 114,729.31

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Solution

The fourth proportional to 205,384.56, 283,402.63 and 114,729.31 is: 158,310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,384.56 : 283,402.63 = 114,729.31 : x
  2. Step 2: Convert to fraction form
    205,384.56/283,402.63 = 114,729.31/x
  3. Step 3: Cross multiply
    205,384.56x = 283,402.63 × 114,729.31
  4. Step 4: Simplify right side
    205,384.56x = 32,514,586,775.07
  5. Step 5: Solve for x
    x = 32,514,586,775.07/205,384.56
  6. Step 6: Final answer
    x = 158,310.77

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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.