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Finding the Fourth Proportional to 274,072.69, 411,113.58 and 96,581.85

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Solution

The fourth proportional to 274,072.69, 411,113.58 and 96,581.85 is: 144,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,072.69 : 411,113.58 = 96,581.85 : x
  2. Step 2: Convert to fraction form
    274,072.69/411,113.58 = 96,581.85/x
  3. Step 3: Cross multiply
    274,072.69x = 411,113.58 × 96,581.85
  4. Step 4: Simplify right side
    274,072.69x = 39,706,110,116.52
  5. Step 5: Solve for x
    x = 39,706,110,116.52/274,072.69
  6. Step 6: Final answer
    x = 144,874.38

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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.