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Finding the Fourth Proportional to 186,921.40, 257,917 and 106,344.22

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Solution

The fourth proportional to 186,921.40, 257,917 and 106,344.22 is: 146,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,921.40 : 257,917 = 106,344.22 : x
  2. Step 2: Convert to fraction form
    186,921.40/257,917 = 106,344.22/x
  3. Step 3: Cross multiply
    186,921.40x = 257,917 × 106,344.22
  4. Step 4: Simplify right side
    186,921.40x = 27,427,982,189.74
  5. Step 5: Solve for x
    x = 27,427,982,189.74/186,921.40
  6. Step 6: Final answer
    x = 146,735.38

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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.