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Finding the Fourth Proportional to 205,324.70, 283,347.51 and 115,900.70

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Solution

The fourth proportional to 205,324.70, 283,347.51 and 115,900.70 is: 159,942.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,324.70 : 283,347.51 = 115,900.70 : x
  2. Step 2: Convert to fraction form
    205,324.70/283,347.51 = 115,900.70/x
  3. Step 3: Cross multiply
    205,324.70x = 283,347.51 × 115,900.70
  4. Step 4: Simplify right side
    205,324.70x = 32,840,174,752.26
  5. Step 5: Solve for x
    x = 32,840,174,752.26/205,324.70
  6. Step 6: Final answer
    x = 159,942.64

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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.