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Finding the Fourth Proportional to 205,454.66, 283,521.96 and 114,811.36

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Solution

The fourth proportional to 205,454.66, 283,521.96 and 114,811.36 is: 158,436.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,454.66 : 283,521.96 = 114,811.36 : x
  2. Step 2: Convert to fraction form
    205,454.66/283,521.96 = 114,811.36/x
  3. Step 3: Cross multiply
    205,454.66x = 283,521.96 × 114,811.36
  4. Step 4: Simplify right side
    205,454.66x = 32,551,541,817.47
  5. Step 5: Solve for x
    x = 32,551,541,817.47/205,454.66
  6. Step 6: Final answer
    x = 158,436.62

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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.