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Finding the Fourth Proportional to 186,707.38, 257,611.89 and 106,128.56

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Solution

The fourth proportional to 186,707.38, 257,611.89 and 106,128.56 is: 146,432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,707.38 : 257,611.89 = 106,128.56 : x
  2. Step 2: Convert to fraction form
    186,707.38/257,611.89 = 106,128.56/x
  3. Step 3: Cross multiply
    186,707.38x = 257,611.89 × 106,128.56
  4. Step 4: Simplify right side
    186,707.38x = 27,339,978,924.58
  5. Step 5: Solve for x
    x = 27,339,978,924.58/186,707.38
  6. Step 6: Final answer
    x = 146,432.23

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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.