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Finding the Fourth Proportional to 161,952.27, 242,928.82 and 83,023.44

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Solution

The fourth proportional to 161,952.27, 242,928.82 and 83,023.44 is: 124,535.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,952.27 : 242,928.82 = 83,023.44 : x
  2. Step 2: Convert to fraction form
    161,952.27/242,928.82 = 83,023.44/x
  3. Step 3: Cross multiply
    161,952.27x = 242,928.82 × 83,023.44
  4. Step 4: Simplify right side
    161,952.27x = 20,168,786,311.54
  5. Step 5: Solve for x
    x = 20,168,786,311.54/161,952.27
  6. Step 6: Final answer
    x = 124,535.37

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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.