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Finding the Fourth Proportional to 137,376.20, 205,718.70 and 90,374.60

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Solution

The fourth proportional to 137,376.20, 205,718.70 and 90,374.60 is: 135,334.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,376.20 : 205,718.70 = 90,374.60 : x
  2. Step 2: Convert to fraction form
    137,376.20/205,718.70 = 90,374.60/x
  3. Step 3: Cross multiply
    137,376.20x = 205,718.70 × 90,374.60
  4. Step 4: Simplify right side
    137,376.20x = 18,591,745,225.02
  5. Step 5: Solve for x
    x = 18,591,745,225.02/137,376.20
  6. Step 6: Final answer
    x = 135,334.54

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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.