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Finding the Fourth Proportional to 206,393.10, 309,596.56 and 73,283.74

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Solution

The fourth proportional to 206,393.10, 309,596.56 and 73,283.74 is: 109,928.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,393.10 : 309,596.56 = 73,283.74 : x
  2. Step 2: Convert to fraction form
    206,393.10/309,596.56 = 73,283.74/x
  3. Step 3: Cross multiply
    206,393.10x = 309,596.56 × 73,283.74
  4. Step 4: Simplify right side
    206,393.10x = 22,688,393,807.93
  5. Step 5: Solve for x
    x = 22,688,393,807.93/206,393.10
  6. Step 6: Final answer
    x = 109,928.06

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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.