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Finding the Fourth Proportional to 227,484.98, 341,267.97 and 77,741.90

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Solution

The fourth proportional to 227,484.98, 341,267.97 and 77,741.90 is: 116,626.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,484.98 : 341,267.97 = 77,741.90 : x
  2. Step 2: Convert to fraction form
    227,484.98/341,267.97 = 77,741.90/x
  3. Step 3: Cross multiply
    227,484.98x = 341,267.97 × 77,741.90
  4. Step 4: Simplify right side
    227,484.98x = 26,530,820,396.94
  5. Step 5: Solve for x
    x = 26,530,820,396.94/227,484.98
  6. Step 6: Final answer
    x = 116,626.69

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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.