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Finding the Fourth Proportional to 274,209.72, 411,230.78 and 96,675.22

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Solution

The fourth proportional to 274,209.72, 411,230.78 and 96,675.22 is: 144,983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,209.72 : 411,230.78 = 96,675.22 : x
  2. Step 2: Convert to fraction form
    274,209.72/411,230.78 = 96,675.22/x
  3. Step 3: Cross multiply
    274,209.72x = 411,230.78 × 96,675.22
  4. Step 4: Simplify right side
    274,209.72x = 39,755,823,587.74
  5. Step 5: Solve for x
    x = 39,755,823,587.74/274,209.72
  6. Step 6: Final answer
    x = 144,983.28

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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.