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Finding the Fourth Proportional to 234,014.36, 351,074.36 and 74,100

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Solution

The fourth proportional to 234,014.36, 351,074.36 and 74,100 is: 111,166.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,014.36 : 351,074.36 = 74,100 : x
  2. Step 2: Convert to fraction form
    234,014.36/351,074.36 = 74,100/x
  3. Step 3: Cross multiply
    234,014.36x = 351,074.36 × 74,100
  4. Step 4: Simplify right side
    234,014.36x = 26,014,610,076
  5. Step 5: Solve for x
    x = 26,014,610,076/234,014.36
  6. Step 6: Final answer
    x = 111,166.73

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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.