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Finding the Fourth Proportional to 277,829.70, 383,404.04 and 150,505.14

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Solution

The fourth proportional to 277,829.70, 383,404.04 and 150,505.14 is: 207,696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,829.70 : 383,404.04 = 150,505.14 : x
  2. Step 2: Convert to fraction form
    277,829.70/383,404.04 = 150,505.14/x
  3. Step 3: Cross multiply
    277,829.70x = 383,404.04 × 150,505.14
  4. Step 4: Simplify right side
    277,829.70x = 57,704,278,716.77
  5. Step 5: Solve for x
    x = 57,704,278,716.77/277,829.70
  6. Step 6: Final answer
    x = 207,696.58

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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.