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Finding the Fourth Proportional to 201,383.28, 277,915.86 and 110,742.66

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Solution

The fourth proportional to 201,383.28, 277,915.86 and 110,742.66 is: 152,828.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,383.28 : 277,915.86 = 110,742.66 : x
  2. Step 2: Convert to fraction form
    201,383.28/277,915.86 = 110,742.66/x
  3. Step 3: Cross multiply
    201,383.28x = 277,915.86 × 110,742.66
  4. Step 4: Simplify right side
    201,383.28x = 30,777,141,592.59
  5. Step 5: Solve for x
    x = 30,777,141,592.59/201,383.28
  6. Step 6: Final answer
    x = 152,828.68

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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.