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Finding the Fourth Proportional to 186,808.94, 257,770.31 and 106,227.54

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Solution

The fourth proportional to 186,808.94, 257,770.31 and 106,227.54 is: 146,579.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,808.94 : 257,770.31 = 106,227.54 : x
  2. Step 2: Convert to fraction form
    186,808.94/257,770.31 = 106,227.54/x
  3. Step 3: Cross multiply
    186,808.94x = 257,770.31 × 106,227.54
  4. Step 4: Simplify right side
    186,808.94x = 27,382,305,916.34
  5. Step 5: Solve for x
    x = 27,382,305,916.34/186,808.94
  6. Step 6: Final answer
    x = 146,579.21

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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.