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Finding the Fourth Proportional to 180,930.67, 271,396 and 74,296.48

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Solution

The fourth proportional to 180,930.67, 271,396 and 74,296.48 is: 111,444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,930.67 : 271,396 = 74,296.48 : x
  2. Step 2: Convert to fraction form
    180,930.67/271,396 = 74,296.48/x
  3. Step 3: Cross multiply
    180,930.67x = 271,396 × 74,296.48
  4. Step 4: Simplify right side
    180,930.67x = 20,163,767,486.08
  5. Step 5: Solve for x
    x = 20,163,767,486.08/180,930.67
  6. Step 6: Final answer
    x = 111,444.72

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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.