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Finding the Fourth Proportional to 277,503, 416,254.52 and 67,140.94

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Solution

The fourth proportional to 277,503, 416,254.52 and 67,140.94 is: 100,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,503 : 416,254.52 = 67,140.94 : x
  2. Step 2: Convert to fraction form
    277,503/416,254.52 = 67,140.94/x
  3. Step 3: Cross multiply
    277,503x = 416,254.52 × 67,140.94
  4. Step 4: Simplify right side
    277,503x = 27,947,718,543.56
  5. Step 5: Solve for x
    x = 27,947,718,543.56/277,503
  6. Step 6: Final answer
    x = 100,711.41

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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.