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Finding the Fourth Proportional to 186,952.28, 257,954.73 and 118,944.50

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Solution

The fourth proportional to 186,952.28, 257,954.73 and 118,944.50 is: 164,118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,952.28 : 257,954.73 = 118,944.50 : x
  2. Step 2: Convert to fraction form
    186,952.28/257,954.73 = 118,944.50/x
  3. Step 3: Cross multiply
    186,952.28x = 257,954.73 × 118,944.50
  4. Step 4: Simplify right side
    186,952.28x = 30,682,296,382.49
  5. Step 5: Solve for x
    x = 30,682,296,382.49/186,952.28
  6. Step 6: Final answer
    x = 164,118.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.