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Finding the Fourth Proportional to 243,497.40, 365,246.10 and 206,172.60

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Solution

The fourth proportional to 243,497.40, 365,246.10 and 206,172.60 is: 309,258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,497.40 : 365,246.10 = 206,172.60 : x
  2. Step 2: Convert to fraction form
    243,497.40/365,246.10 = 206,172.60/x
  3. Step 3: Cross multiply
    243,497.40x = 365,246.10 × 206,172.60
  4. Step 4: Simplify right side
    243,497.40x = 75,303,738,076.86
  5. Step 5: Solve for x
    x = 75,303,738,076.86/243,497.40
  6. Step 6: Final answer
    x = 309,258.90

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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.