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Finding the Fourth Proportional to 204,377.60, 282,067.20 and 114,952.96

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Solution

The fourth proportional to 204,377.60, 282,067.20 and 114,952.96 is: 158,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,377.60 : 282,067.20 = 114,952.96 : x
  2. Step 2: Convert to fraction form
    204,377.60/282,067.20 = 114,952.96/x
  3. Step 3: Cross multiply
    204,377.60x = 282,067.20 × 114,952.96
  4. Step 4: Simplify right side
    204,377.60x = 32,424,459,558.91
  5. Step 5: Solve for x
    x = 32,424,459,558.91/204,377.60
  6. Step 6: Final answer
    x = 158,649.77

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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.