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Finding the Fourth Proportional to 180,599.88, 270,899.94 and 106,238.36

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Solution

The fourth proportional to 180,599.88, 270,899.94 and 106,238.36 is: 159,357.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,599.88 : 270,899.94 = 106,238.36 : x
  2. Step 2: Convert to fraction form
    180,599.88/270,899.94 = 106,238.36/x
  3. Step 3: Cross multiply
    180,599.88x = 270,899.94 × 106,238.36
  4. Step 4: Simplify right side
    180,599.88x = 28,779,965,349.70
  5. Step 5: Solve for x
    x = 28,779,965,349.70/180,599.88
  6. Step 6: Final answer
    x = 159,357.61

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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.