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Finding the Fourth Proportional to 127,952.92, 191,922.46 and 39,206.68

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Solution

The fourth proportional to 127,952.92, 191,922.46 and 39,206.68 is: 58,807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,952.92 : 191,922.46 = 39,206.68 : x
  2. Step 2: Convert to fraction form
    127,952.92/191,922.46 = 39,206.68/x
  3. Step 3: Cross multiply
    127,952.92x = 191,922.46 × 39,206.68
  4. Step 4: Simplify right side
    127,952.92x = 7,524,642,474.03
  5. Step 5: Solve for x
    x = 7,524,642,474.03/127,952.92
  6. Step 6: Final answer
    x = 58,807.90

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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.