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Finding the Fourth Proportional to 205,722.30, 283,782.42 and 119,671.60

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Solution

The fourth proportional to 205,722.30, 283,782.42 and 119,671.60 is: 165,080.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,722.30 : 283,782.42 = 119,671.60 : x
  2. Step 2: Convert to fraction form
    205,722.30/283,782.42 = 119,671.60/x
  3. Step 3: Cross multiply
    205,722.30x = 283,782.42 × 119,671.60
  4. Step 4: Simplify right side
    205,722.30x = 33,960,696,253.27
  5. Step 5: Solve for x
    x = 33,960,696,253.27/205,722.30
  6. Step 6: Final answer
    x = 165,080.29

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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.