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Finding the Fourth Proportional to 149,076.96, 223,663.68 and 43,896.48

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Solution

The fourth proportional to 149,076.96, 223,663.68 and 43,896.48 is: 65,858.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,076.96 : 223,663.68 = 43,896.48 : x
  2. Step 2: Convert to fraction form
    149,076.96/223,663.68 = 43,896.48/x
  3. Step 3: Cross multiply
    149,076.96x = 223,663.68 × 43,896.48
  4. Step 4: Simplify right side
    149,076.96x = 9,818,046,918.05
  5. Step 5: Solve for x
    x = 9,818,046,918.05/149,076.96
  6. Step 6: Final answer
    x = 65,858.92

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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.