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Finding the Fourth Proportional to 102,215.89, 153,224.19 and 48,893.92

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Solution

The fourth proportional to 102,215.89, 153,224.19 and 48,893.92 is: 73,293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,215.89 : 153,224.19 = 48,893.92 : x
  2. Step 2: Convert to fraction form
    102,215.89/153,224.19 = 48,893.92/x
  3. Step 3: Cross multiply
    102,215.89x = 153,224.19 × 48,893.92
  4. Step 4: Simplify right side
    102,215.89x = 7,491,731,287.92
  5. Step 5: Solve for x
    x = 7,491,731,287.92/102,215.89
  6. Step 6: Final answer
    x = 73,293.22

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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.