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Finding the Fourth Proportional to 106,732.56, 159,955.68 and 83,068.64

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Solution

The fourth proportional to 106,732.56, 159,955.68 and 83,068.64 is: 124,491.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,732.56 : 159,955.68 = 83,068.64 : x
  2. Step 2: Convert to fraction form
    106,732.56/159,955.68 = 83,068.64/x
  3. Step 3: Cross multiply
    106,732.56x = 159,955.68 × 83,068.64
  4. Step 4: Simplify right side
    106,732.56x = 13,287,300,797.88
  5. Step 5: Solve for x
    x = 13,287,300,797.88/106,732.56
  6. Step 6: Final answer
    x = 124,491.54

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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.