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Finding the Fourth Proportional to 206,405.16, 284,811.57 and 114,522.98

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Solution

The fourth proportional to 206,405.16, 284,811.57 and 114,522.98 is: 158,026.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,405.16 : 284,811.57 = 114,522.98 : x
  2. Step 2: Convert to fraction form
    206,405.16/284,811.57 = 114,522.98/x
  3. Step 3: Cross multiply
    206,405.16x = 284,811.57 × 114,522.98
  4. Step 4: Simplify right side
    206,405.16x = 32,617,468,310.82
  5. Step 5: Solve for x
    x = 32,617,468,310.82/206,405.16
  6. Step 6: Final answer
    x = 158,026.42

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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.