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Finding the Fourth Proportional to 277,515.18, 416,391.57 and 87,991.11

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Solution

The fourth proportional to 277,515.18, 416,391.57 and 87,991.11 is: 132,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,515.18 : 416,391.57 = 87,991.11 : x
  2. Step 2: Convert to fraction form
    277,515.18/416,391.57 = 87,991.11/x
  3. Step 3: Cross multiply
    277,515.18x = 416,391.57 × 87,991.11
  4. Step 4: Simplify right side
    277,515.18x = 36,638,756,438.94
  5. Step 5: Solve for x
    x = 36,638,756,438.94/277,515.18
  6. Step 6: Final answer
    x = 132,024.33

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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.