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Finding the Fourth Proportional to 186,694.82, 257,654.16 and 106,147.62

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Solution

The fourth proportional to 186,694.82, 257,654.16 and 106,147.62 is: 146,492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,694.82 : 257,654.16 = 106,147.62 : x
  2. Step 2: Convert to fraction form
    186,694.82/257,654.16 = 106,147.62/x
  3. Step 3: Cross multiply
    186,694.82x = 257,654.16 × 106,147.62
  4. Step 4: Simplify right side
    186,694.82x = 27,349,375,867.10
  5. Step 5: Solve for x
    x = 27,349,375,867.10/186,694.82
  6. Step 6: Final answer
    x = 146,492.42

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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.