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Finding the Fourth Proportional to 135,313.96, 202,990.40 and 41,827

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Solution

The fourth proportional to 135,313.96, 202,990.40 and 41,827 is: 62,746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,313.96 : 202,990.40 = 41,827 : x
  2. Step 2: Convert to fraction form
    135,313.96/202,990.40 = 41,827/x
  3. Step 3: Cross multiply
    135,313.96x = 202,990.40 × 41,827
  4. Step 4: Simplify right side
    135,313.96x = 8,490,479,460.80
  5. Step 5: Solve for x
    x = 8,490,479,460.80/135,313.96
  6. Step 6: Final answer
    x = 62,746.52

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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.