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Finding the Fourth Proportional to 205,355.45, 283,389.32 and 114,711.14

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Solution

The fourth proportional to 205,355.45, 283,389.32 and 114,711.14 is: 158,300.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,355.45 : 283,389.32 = 114,711.14 : x
  2. Step 2: Convert to fraction form
    205,355.45/283,389.32 = 114,711.14/x
  3. Step 3: Cross multiply
    205,355.45x = 283,389.32 × 114,711.14
  4. Step 4: Simplify right side
    205,355.45x = 32,507,910,716.96
  5. Step 5: Solve for x
    x = 32,507,910,716.96/205,355.45
  6. Step 6: Final answer
    x = 158,300.69

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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.