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Finding the Fourth Proportional to 180,027.90, 269,979.32 and 100,187.71

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Solution

The fourth proportional to 180,027.90, 269,979.32 and 100,187.71 is: 150,246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,027.90 : 269,979.32 = 100,187.71 : x
  2. Step 2: Convert to fraction form
    180,027.90/269,979.32 = 100,187.71/x
  3. Step 3: Cross multiply
    180,027.90x = 269,979.32 × 100,187.71
  4. Step 4: Simplify right side
    180,027.90x = 27,048,609,818.16
  5. Step 5: Solve for x
    x = 27,048,609,818.16/180,027.90
  6. Step 6: Final answer
    x = 150,246.77

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