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Finding the Fourth Proportional to 231,889.40, 347,834.10 and 185,233.40

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Solution

The fourth proportional to 231,889.40, 347,834.10 and 185,233.40 is: 277,850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,889.40 : 347,834.10 = 185,233.40 : x
  2. Step 2: Convert to fraction form
    231,889.40/347,834.10 = 185,233.40/x
  3. Step 3: Cross multiply
    231,889.40x = 347,834.10 × 185,233.40
  4. Step 4: Simplify right side
    231,889.40x = 64,430,492,978.94
  5. Step 5: Solve for x
    x = 64,430,492,978.94/231,889.40
  6. Step 6: Final answer
    x = 277,850.10

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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.