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Finding the Fourth Proportional to 205,471.62, 283,551.21 and 114,827.58

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Solution

The fourth proportional to 205,471.62, 283,551.21 and 114,827.58 is: 158,462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,471.62 : 283,551.21 = 114,827.58 : x
  2. Step 2: Convert to fraction form
    205,471.62/283,551.21 = 114,827.58/x
  3. Step 3: Cross multiply
    205,471.62x = 283,551.21 × 114,827.58
  4. Step 4: Simplify right side
    205,471.62x = 32,559,499,250.37
  5. Step 5: Solve for x
    x = 32,559,499,250.37/205,471.62
  6. Step 6: Final answer
    x = 158,462.27

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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.