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Finding the Fourth Proportional to 206,298.74, 309,052.82 and 139,623.86

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Solution

The fourth proportional to 206,298.74, 309,052.82 and 139,623.86 is: 209,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,298.74 : 309,052.82 = 139,623.86 : x
  2. Step 2: Convert to fraction form
    206,298.74/309,052.82 = 139,623.86/x
  3. Step 3: Cross multiply
    206,298.74x = 309,052.82 × 139,623.86
  4. Step 4: Simplify right side
    206,298.74x = 43,151,145,428.90
  5. Step 5: Solve for x
    x = 43,151,145,428.90/206,298.74
  6. Step 6: Final answer
    x = 209,168.25

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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.