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Finding the Fourth Proportional to 186,705.38, 257,609.13 and 106,126.56

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Solution

The fourth proportional to 186,705.38, 257,609.13 and 106,126.56 is: 146,429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,705.38 : 257,609.13 = 106,126.56 : x
  2. Step 2: Convert to fraction form
    186,705.38/257,609.13 = 106,126.56/x
  3. Step 3: Cross multiply
    186,705.38x = 257,609.13 × 106,126.56
  4. Step 4: Simplify right side
    186,705.38x = 27,339,170,706.45
  5. Step 5: Solve for x
    x = 27,339,170,706.45/186,705.38
  6. Step 6: Final answer
    x = 146,429.48

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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.