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Finding the Fourth Proportional to 305,983.90, 422,188.77 and 185,122.18

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Solution

The fourth proportional to 305,983.90, 422,188.77 and 185,122.18 is: 255,426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,983.90 : 422,188.77 = 185,122.18 : x
  2. Step 2: Convert to fraction form
    305,983.90/422,188.77 = 185,122.18/x
  3. Step 3: Cross multiply
    305,983.90x = 422,188.77 × 185,122.18
  4. Step 4: Simplify right side
    305,983.90x = 78,156,505,473.92
  5. Step 5: Solve for x
    x = 78,156,505,473.92/305,983.90
  6. Step 6: Final answer
    x = 255,426.86

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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.