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Finding the Fourth Proportional to 228,263.26, 341,728.65 and 133,202.14

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Solution

The fourth proportional to 228,263.26, 341,728.65 and 133,202.14 is: 199,414.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,263.26 : 341,728.65 = 133,202.14 : x
  2. Step 2: Convert to fraction form
    228,263.26/341,728.65 = 133,202.14/x
  3. Step 3: Cross multiply
    228,263.26x = 341,728.65 × 133,202.14
  4. Step 4: Simplify right side
    228,263.26x = 45,518,987,479.31
  5. Step 5: Solve for x
    x = 45,518,987,479.31/228,263.26
  6. Step 6: Final answer
    x = 199,414.43

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