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Finding the Fourth Proportional to 277,716.42, 383,107.59 and 162,919.98

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Solution

The fourth proportional to 277,716.42, 383,107.59 and 162,919.98 is: 224,746.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,716.42 : 383,107.59 = 162,919.98 : x
  2. Step 2: Convert to fraction form
    277,716.42/383,107.59 = 162,919.98/x
  3. Step 3: Cross multiply
    277,716.42x = 383,107.59 × 162,919.98
  4. Step 4: Simplify right side
    277,716.42x = 62,415,880,900.65
  5. Step 5: Solve for x
    x = 62,415,880,900.65/277,716.42
  6. Step 6: Final answer
    x = 224,746.82

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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.