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Finding the Fourth Proportional to 137,268.90, 205,990.83 and 58,383

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Solution

The fourth proportional to 137,268.90, 205,990.83 and 58,383 is: 87,611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,268.90 : 205,990.83 = 58,383 : x
  2. Step 2: Convert to fraction form
    137,268.90/205,990.83 = 58,383/x
  3. Step 3: Cross multiply
    137,268.90x = 205,990.83 × 58,383
  4. Step 4: Simplify right side
    137,268.90x = 12,026,362,627.89
  5. Step 5: Solve for x
    x = 12,026,362,627.89/137,268.90
  6. Step 6: Final answer
    x = 87,611.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.