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Finding the Fourth Proportional to 180,215.68, 270,283.43 and 52,103.99

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Solution

The fourth proportional to 180,215.68, 270,283.43 and 52,103.99 is: 78,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,215.68 : 270,283.43 = 52,103.99 : x
  2. Step 2: Convert to fraction form
    180,215.68/270,283.43 = 52,103.99/x
  3. Step 3: Cross multiply
    180,215.68x = 270,283.43 × 52,103.99
  4. Step 4: Simplify right side
    180,215.68x = 14,082,845,939.85
  5. Step 5: Solve for x
    x = 14,082,845,939.85/180,215.68
  6. Step 6: Final answer
    x = 78,144.40

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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.