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Finding the Fourth Proportional to 206,378.16, 309,598.00 and 73,247.27

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Solution

The fourth proportional to 206,378.16, 309,598.00 and 73,247.27 is: 109,881.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,378.16 : 309,598.00 = 73,247.27 : x
  2. Step 2: Convert to fraction form
    206,378.16/309,598.00 = 73,247.27/x
  3. Step 3: Cross multiply
    206,378.16x = 309,598.00 × 73,247.27
  4. Step 4: Simplify right side
    206,378.16x = 22,677,208,513.85
  5. Step 5: Solve for x
    x = 22,677,208,513.85/206,378.16
  6. Step 6: Final answer
    x = 109,881.82

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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.