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Finding the Fourth Proportional to 274,044.96, 411,122.52 and 96,677.64

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Solution

The fourth proportional to 274,044.96, 411,122.52 and 96,677.64 is: 145,035.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,044.96 : 411,122.52 = 96,677.64 : x
  2. Step 2: Convert to fraction form
    274,044.96/411,122.52 = 96,677.64/x
  3. Step 3: Cross multiply
    274,044.96x = 411,122.52 × 96,677.64
  4. Step 4: Simplify right side
    274,044.96x = 39,746,354,984.45
  5. Step 5: Solve for x
    x = 39,746,354,984.45/274,044.96
  6. Step 6: Final answer
    x = 145,035.89

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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.