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Finding the Fourth Proportional to 180,228.96, 270,314.96 and 60,284.97

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Solution

The fourth proportional to 180,228.96, 270,314.96 and 60,284.97 is: 90,417.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,228.96 : 270,314.96 = 60,284.97 : x
  2. Step 2: Convert to fraction form
    180,228.96/270,314.96 = 60,284.97/x
  3. Step 3: Cross multiply
    180,228.96x = 270,314.96 × 60,284.97
  4. Step 4: Simplify right side
    180,228.96x = 16,295,928,952.73
  5. Step 5: Solve for x
    x = 16,295,928,952.73/180,228.96
  6. Step 6: Final answer
    x = 90,417.93

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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.