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Finding the Fourth Proportional to 277,701.31, 416,465.85 and 100,185.26

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Solution

The fourth proportional to 277,701.31, 416,465.85 and 100,185.26 is: 150,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,701.31 : 416,465.85 = 100,185.26 : x
  2. Step 2: Convert to fraction form
    277,701.31/416,465.85 = 100,185.26/x
  3. Step 3: Cross multiply
    277,701.31x = 416,465.85 × 100,185.26
  4. Step 4: Simplify right side
    277,701.31x = 41,723,737,756.74
  5. Step 5: Solve for x
    x = 41,723,737,756.74/277,701.31
  6. Step 6: Final answer
    x = 150,246.82

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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.