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Finding the Fourth Proportional to 200,787.42, 277,092.63 and 111,361.50

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Solution

The fourth proportional to 200,787.42, 277,092.63 and 111,361.50 is: 153,682.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,787.42 : 277,092.63 = 111,361.50 : x
  2. Step 2: Convert to fraction form
    200,787.42/277,092.63 = 111,361.50/x
  3. Step 3: Cross multiply
    200,787.42x = 277,092.63 × 111,361.50
  4. Step 4: Simplify right side
    200,787.42x = 30,857,450,915.75
  5. Step 5: Solve for x
    x = 30,857,450,915.75/200,787.42
  6. Step 6: Final answer
    x = 153,682.19

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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.