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Finding the Fourth Proportional to 234,403.40, 351,614.84 and 68,191.40

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Solution

The fourth proportional to 234,403.40, 351,614.84 and 68,191.40 is: 102,289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,403.40 : 351,614.84 = 68,191.40 : x
  2. Step 2: Convert to fraction form
    234,403.40/351,614.84 = 68,191.40/x
  3. Step 3: Cross multiply
    234,403.40x = 351,614.84 × 68,191.40
  4. Step 4: Simplify right side
    234,403.40x = 23,977,108,200.38
  5. Step 5: Solve for x
    x = 23,977,108,200.38/234,403.40
  6. Step 6: Final answer
    x = 102,289.93

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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.