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Finding the Fourth Proportional to 201,284.83, 277,787.58 and 120,710.89

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Solution

The fourth proportional to 201,284.83, 277,787.58 and 120,710.89 is: 166,589.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,284.83 : 277,787.58 = 120,710.89 : x
  2. Step 2: Convert to fraction form
    201,284.83/277,787.58 = 120,710.89/x
  3. Step 3: Cross multiply
    201,284.83x = 277,787.58 × 120,710.89
  4. Step 4: Simplify right side
    201,284.83x = 33,531,986,012.75
  5. Step 5: Solve for x
    x = 33,531,986,012.75/201,284.83
  6. Step 6: Final answer
    x = 166,589.73

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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.