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Finding the Fourth Proportional to 205,359.40, 283,244.34 and 129,835

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Solution

The fourth proportional to 205,359.40, 283,244.34 and 129,835 is: 179,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,359.40 : 283,244.34 = 129,835 : x
  2. Step 2: Convert to fraction form
    205,359.40/283,244.34 = 129,835/x
  3. Step 3: Cross multiply
    205,359.40x = 283,244.34 × 129,835
  4. Step 4: Simplify right side
    205,359.40x = 36,775,028,883.90
  5. Step 5: Solve for x
    x = 36,775,028,883.90/205,359.40
  6. Step 6: Final answer
    x = 179,076.43

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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.