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Finding the Fourth Proportional to 161,224.96, 241,837.12 and 42,896.28

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Solution

The fourth proportional to 161,224.96, 241,837.12 and 42,896.28 is: 64,344.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,224.96 : 241,837.12 = 42,896.28 : x
  2. Step 2: Convert to fraction form
    161,224.96/241,837.12 = 42,896.28/x
  3. Step 3: Cross multiply
    161,224.96x = 241,837.12 × 42,896.28
  4. Step 4: Simplify right side
    161,224.96x = 10,373,912,813.91
  5. Step 5: Solve for x
    x = 10,373,912,813.91/161,224.96
  6. Step 6: Final answer
    x = 64,344.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.