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Finding the Fourth Proportional to 205,164.81, 283,174.65 and 120,309.21

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Solution

The fourth proportional to 205,164.81, 283,174.65 and 120,309.21 is: 166,054.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,164.81 : 283,174.65 = 120,309.21 : x
  2. Step 2: Convert to fraction form
    205,164.81/283,174.65 = 120,309.21/x
  3. Step 3: Cross multiply
    205,164.81x = 283,174.65 × 120,309.21
  4. Step 4: Simplify right side
    205,164.81x = 34,068,518,433.53
  5. Step 5: Solve for x
    x = 34,068,518,433.53/205,164.81
  6. Step 6: Final answer
    x = 166,054.40

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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.