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Finding the Fourth Proportional to 161,947.12, 242,893.14 and 43,592.08

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Solution

The fourth proportional to 161,947.12, 242,893.14 and 43,592.08 is: 65,380.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,947.12 : 242,893.14 = 43,592.08 : x
  2. Step 2: Convert to fraction form
    161,947.12/242,893.14 = 43,592.08/x
  3. Step 3: Cross multiply
    161,947.12x = 242,893.14 × 43,592.08
  4. Step 4: Simplify right side
    161,947.12x = 10,588,217,190.33
  5. Step 5: Solve for x
    x = 10,588,217,190.33/161,947.12
  6. Step 6: Final answer
    x = 65,380.71

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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.