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Finding the Fourth Proportional to 201,284.41, 277,766.49 and 115,240.54

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Solution

The fourth proportional to 201,284.41, 277,766.49 and 115,240.54 is: 159,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,284.41 : 277,766.49 = 115,240.54 : x
  2. Step 2: Convert to fraction form
    201,284.41/277,766.49 = 115,240.54/x
  3. Step 3: Cross multiply
    201,284.41x = 277,766.49 × 115,240.54
  4. Step 4: Simplify right side
    201,284.41x = 32,009,960,301.50
  5. Step 5: Solve for x
    x = 32,009,960,301.50/201,284.41
  6. Step 6: Final answer
    x = 159,028.51

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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.