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Finding the Fourth Proportional to 186,755.38, 257,719.38 and 106,181.17

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Solution

The fourth proportional to 186,755.38, 257,719.38 and 106,181.17 is: 146,528.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,755.38 : 257,719.38 = 106,181.17 : x
  2. Step 2: Convert to fraction form
    186,755.38/257,719.38 = 106,181.17/x
  3. Step 3: Cross multiply
    186,755.38x = 257,719.38 × 106,181.17
  4. Step 4: Simplify right side
    186,755.38x = 27,364,945,300.07
  5. Step 5: Solve for x
    x = 27,364,945,300.07/186,755.38
  6. Step 6: Final answer
    x = 146,528.28

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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.