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Finding the Fourth Proportional to 137,147.70, 205,738 and 48,382.90

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Solution

The fourth proportional to 137,147.70, 205,738 and 48,382.90 is: 72,580.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,147.70 : 205,738 = 48,382.90 : x
  2. Step 2: Convert to fraction form
    137,147.70/205,738 = 48,382.90/x
  3. Step 3: Cross multiply
    137,147.70x = 205,738 × 48,382.90
  4. Step 4: Simplify right side
    137,147.70x = 9,954,201,080.20
  5. Step 5: Solve for x
    x = 9,954,201,080.20/137,147.70
  6. Step 6: Final answer
    x = 72,580.15

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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.