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Finding the Fourth Proportional to 277,858.49, 383,445.09 and 150,534.08

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Solution

The fourth proportional to 277,858.49, 383,445.09 and 150,534.08 is: 207,737.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,858.49 : 383,445.09 = 150,534.08 : x
  2. Step 2: Convert to fraction form
    277,858.49/383,445.09 = 150,534.08/x
  3. Step 3: Cross multiply
    277,858.49x = 383,445.09 × 150,534.08
  4. Step 4: Simplify right side
    277,858.49x = 57,721,551,936.44
  5. Step 5: Solve for x
    x = 57,721,551,936.44/277,858.49
  6. Step 6: Final answer
    x = 207,737.23

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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.