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Finding the Fourth Proportional to 234,225.50, 351,347.97 and 68,013.50

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Solution

The fourth proportional to 234,225.50, 351,347.97 and 68,013.50 is: 102,023.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,225.50 : 351,347.97 = 68,013.50 : x
  2. Step 2: Convert to fraction form
    234,225.50/351,347.97 = 68,013.50/x
  3. Step 3: Cross multiply
    234,225.50x = 351,347.97 × 68,013.50
  4. Step 4: Simplify right side
    234,225.50x = 23,896,405,157.60
  5. Step 5: Solve for x
    x = 23,896,405,157.60/234,225.50
  6. Step 6: Final answer
    x = 102,023.07

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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.