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Finding the Fourth Proportional to 277,759.94, 383,307.99 and 150,435.14

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Solution

The fourth proportional to 277,759.94, 383,307.99 and 150,435.14 is: 207,600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,759.94 : 383,307.99 = 150,435.14 : x
  2. Step 2: Convert to fraction form
    277,759.94/383,307.99 = 150,435.14/x
  3. Step 3: Cross multiply
    277,759.94x = 383,307.99 × 150,435.14
  4. Step 4: Simplify right side
    277,759.94x = 57,662,991,138.77
  5. Step 5: Solve for x
    x = 57,662,991,138.77/277,759.94
  6. Step 6: Final answer
    x = 207,600.10

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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.