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Finding the Fourth Proportional to 201,404.21, 277,932.23 and 110,760.14

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Solution

The fourth proportional to 201,404.21, 277,932.23 and 110,760.14 is: 152,845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,404.21 : 277,932.23 = 110,760.14 : x
  2. Step 2: Convert to fraction form
    201,404.21/277,932.23 = 110,760.14/x
  3. Step 3: Cross multiply
    201,404.21x = 277,932.23 × 110,760.14
  4. Step 4: Simplify right side
    201,404.21x = 30,783,813,261.69
  5. Step 5: Solve for x
    x = 30,783,813,261.69/201,404.21
  6. Step 6: Final answer
    x = 152,845.93

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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.