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Finding the Fourth Proportional to 131,758.56, 197,527.08 and 106,736.58

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Solution

The fourth proportional to 131,758.56, 197,527.08 and 106,736.58 is: 160,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,758.56 : 197,527.08 = 106,736.58 : x
  2. Step 2: Convert to fraction form
    131,758.56/197,527.08 = 106,736.58/x
  3. Step 3: Cross multiply
    131,758.56x = 197,527.08 × 106,736.58
  4. Step 4: Simplify right side
    131,758.56x = 21,083,364,976.59
  5. Step 5: Solve for x
    x = 21,083,364,976.59/131,758.56
  6. Step 6: Final answer
    x = 160,015.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.