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Finding the Fourth Proportional to 102,224.45, 153,362.19 and 35,665.13

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Solution

The fourth proportional to 102,224.45, 153,362.19 and 35,665.13 is: 53,506.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,224.45 : 153,362.19 = 35,665.13 : x
  2. Step 2: Convert to fraction form
    102,224.45/153,362.19 = 35,665.13/x
  3. Step 3: Cross multiply
    102,224.45x = 153,362.19 × 35,665.13
  4. Step 4: Simplify right side
    102,224.45x = 5,469,681,676.62
  5. Step 5: Solve for x
    x = 5,469,681,676.62/102,224.45
  6. Step 6: Final answer
    x = 53,506.59

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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.