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Finding the Fourth Proportional to 274,166.42, 411,223.58 and 84,575.85

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Solution

The fourth proportional to 274,166.42, 411,223.58 and 84,575.85 is: 126,855.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,166.42 : 411,223.58 = 84,575.85 : x
  2. Step 2: Convert to fraction form
    274,166.42/411,223.58 = 84,575.85/x
  3. Step 3: Cross multiply
    274,166.42x = 411,223.58 × 84,575.85
  4. Step 4: Simplify right side
    274,166.42x = 34,779,582,646.47
  5. Step 5: Solve for x
    x = 34,779,582,646.47/274,166.42
  6. Step 6: Final answer
    x = 126,855.73

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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.