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Finding the Fourth Proportional to 228,051.76, 341,932.72 and 200,028.08

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Solution

The fourth proportional to 228,051.76, 341,932.72 and 200,028.08 is: 299,915.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,051.76 : 341,932.72 = 200,028.08 : x
  2. Step 2: Convert to fraction form
    228,051.76/341,932.72 = 200,028.08/x
  3. Step 3: Cross multiply
    228,051.76x = 341,932.72 × 200,028.08
  4. Step 4: Simplify right side
    228,051.76x = 68,396,145,470.78
  5. Step 5: Solve for x
    x = 68,396,145,470.78/228,051.76
  6. Step 6: Final answer
    x = 299,915.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.