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Finding the Fourth Proportional to 137,807.90, 206,350.98 and 90,273.50

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Solution

The fourth proportional to 137,807.90, 206,350.98 and 90,273.50 is: 135,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,807.90 : 206,350.98 = 90,273.50 : x
  2. Step 2: Convert to fraction form
    137,807.90/206,350.98 = 90,273.50/x
  3. Step 3: Cross multiply
    137,807.90x = 206,350.98 × 90,273.50
  4. Step 4: Simplify right side
    137,807.90x = 18,628,025,193.03
  5. Step 5: Solve for x
    x = 18,628,025,193.03/137,807.90
  6. Step 6: Final answer
    x = 135,173.86

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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.