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Finding the Fourth Proportional to 277,174.44, 382,500.63 and 149,850

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Solution

The fourth proportional to 277,174.44, 382,500.63 and 149,850 is: 206,792.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,174.44 : 382,500.63 = 149,850 : x
  2. Step 2: Convert to fraction form
    277,174.44/382,500.63 = 149,850/x
  3. Step 3: Cross multiply
    277,174.44x = 382,500.63 × 149,850
  4. Step 4: Simplify right side
    277,174.44x = 57,317,719,405.50
  5. Step 5: Solve for x
    x = 57,317,719,405.50/277,174.44
  6. Step 6: Final answer
    x = 206,792.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.