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Finding the Fourth Proportional to 180,214.97, 271,538.96 and 149,312.66

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Solution

The fourth proportional to 180,214.97, 271,538.96 and 149,312.66 is: 224,976.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,214.97 : 271,538.96 = 149,312.66 : x
  2. Step 2: Convert to fraction form
    180,214.97/271,538.96 = 149,312.66/x
  3. Step 3: Cross multiply
    180,214.97x = 271,538.96 × 149,312.66
  4. Step 4: Simplify right side
    180,214.97x = 40,544,202,306.98
  5. Step 5: Solve for x
    x = 40,544,202,306.98/180,214.97
  6. Step 6: Final answer
    x = 224,976.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.