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Finding the Fourth Proportional to 180,216.68, 270,284.93 and 52,104.99

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Solution

The fourth proportional to 180,216.68, 270,284.93 and 52,104.99 is: 78,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,216.68 : 270,284.93 = 52,104.99 : x
  2. Step 2: Convert to fraction form
    180,216.68/270,284.93 = 52,104.99/x
  3. Step 3: Cross multiply
    180,216.68x = 270,284.93 × 52,104.99
  4. Step 4: Simplify right side
    180,216.68x = 14,083,193,574.80
  5. Step 5: Solve for x
    x = 14,083,193,574.80/180,216.68
  6. Step 6: Final answer
    x = 78,145.89

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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.